I was going to direct you to the search function on the forum so you could go back and find all the posts that will probably answer 90% of your questions. Unfortunately, when I used it to check, there's only about 3 years worth of posts available. Maybe I'm doing something wrong, but if not, it's pretty unfortunate that all that prior knowledge has just evaporated. You still may be able to find something helpful from the recent past.

I did some time in the pax world before FedEx. In my opinion, if you're going to commute there is no better airline at which to do that than FedEx. If you can move to domicile, that's a whole different ball game - but if Mama or the kids are hard set on a particular location that drives you to commute, come here if you can.

Not sure what you mean by stability and home/schedule. With the hiring, retirements and movement within FedEx, it's relatively easy to get senior in a seat if you are willing to stay on the 757 or go to one of the FDAs. When you have some seniority in your seat and can hold a line, you'll know your next month's schedule 19 days before it starts. Aside from an occasional "one-off", that's your schedule unless you decide to change it (stable?). What many commuters consider a "good" schedule is one that involves limited commutes to a trip or series of trips. Week on/Week off schedules are pretty common for domestic flyers. Junior flyers may see less of a nice pattern and may have to trade or drop trips to improve their schedule or just accept more commutes. 777 pilots can fly one big trip for about 12-13 days and have the rest of the month off. There's also lots of 777 schedules with two trips spaced across the month which could be some thing close to week on/week off or something more random like a 6 day trip on day one of the month and a 7 day trip during the last week.
The bottom line regarding schedules is there is huge variety. If you want larger blocks of days off between trips, it's relatively easy to do that here. If your lifestyle at home can hack you being gone for 12 days straight, you can have more than half a month off every month.

Our LAX base is MD-11 only and last I checked, was our most senior base. Not impossible to get there but I wouldn't count on it early on. So if you settle there, expect to commute to MEM or IND. DEN guys may chime in but from what I've heard it's one of our tougher cities to commute from. There are a lot of guys living there and a finite number of jumpseats. The jumpseats are first come/first served 3 weeks out. Guys sit poised ready to hit "enter" exactly 3-weeks from when they need a jumpseat and they go quickly. It's still doable, but you're probably going to work a bit harder to get to work or choose to stay senior so you can hold deadhead trips and not have to commute to domicile for trips.

We have some great things in our contract and some that fall short of other airlines. An example of each: Our deadhead and deviation policy is huge when it comes to being a commuter. Our reserve system is one of the worst in the industry, in my opinion.

Trip types, lengths, all the other things you mention are so variable. 15 hour flight from MEM to Dubai, 35 min flights from IND to ORD. Block is time from pushback to block in at destination. "Less block" means our lineholders (flying every month) fly about a third to half as much as our peers at passenger carriers holding a line there. You may hold a line of ATL hub turns (when you get some seniority). MEM to ATL at say, 0400 takeoff, 1:15 total block time there, in the hotel by 0700. Sleep as long as you can. Leave the hotel at 2100, take off at 2230, another 1:15 back to MEM, trip complete - total block time 2:30. In that same calendar day, your buds at a major pax carrier may have flown 3 flights and blocked close to 8 hours. If you're flying a series of ATL hub turns, you're going to hang in MEM for about 3-4 hours and do the exact same thing again starting with that 0400 takeoff. Rinse and repeat all week and you're done on Friday or Saturday. See you in 8 days the following Monday when it's time to do it all over again. That's just one example of literally hundreds of possibilities and iterations of the same basic pattern.

Internationally, you can fly to England, off for 24 hours and come right back. You can do a 5 day around the world in 3 flights as a relief FO. You can do a 12-13 day marathon that does a long flight to Asia, bangs around on some shorter hops for a week and then another big flight back to MEM. Again, the possibilities are too numerous to try to list.
The thing to understand about the system at FedEx is we don't usually pick up packages on Sunday or holidays. So, in many US cities, when the last FedEx flight brings it's packages in on Saturday morning, that jet has nothing to do until Monday night. So it stays there. The pilots may or may not. If they don't, that jet needs two pilots Monday night. So FedEx uses commercial passenger flights to position two pilots to that city on Monday morning. They go to the hotel and begin their series of trips that night with their first flight full of Monday's "stuff" back to MEM for the sort. When they finish up Friday or Saturday, they may not be back at MEM. They may have flown that same flight back into city X where the jet is now staying until Monday. So, again, FedEx flies them back to MEM commercially. On any of those trips with commercial deadheads, we can deviate - cancel the scheduled ticket and use the money from that ticket to fly from where we live to city X where that FedEx aircraft waits for us to fly it to MEM on Monday night. When we finish at the end of the week, we cancel the ticket back to MEM again and use the money to fly home. Real tickets, no jumpseats - assigned seats, frequent flyer benefits, minimal commute stress and best of all, no commuting on our own time since most deviations can fall under the paid "footprint" of the actual trip. Different versions of this scenario occur in every fleet at FedEx. We have 777 pilots deviating on the deadhead from MEM to Paris and taking a flight straight there from their home airport and the list goes on.

If you do have to actually commute to MEM or IND, you usually ride on our own aircraft. The whole reason you have a trip to fly out on later that night is because of the freight coming into the hub to be sorted. You're just riding into the hub on the jet bringing in that freight. You get to domicile anywhere from 2-3 hours from showtime, maybe take a nap and then start your trip.
It's not a pax airline or a pax schedule. We just don't do what they do. So, making comparisons is only valid up to a point and then you just have to figure out if you can find a niche in our system that suits you. Most pilots do in my experience.

If you want, you will upgrade to a widebody captain seat faster than ANY of your peers at another airline. Those coveted positions at a pax carrier represent a fraction of the overall Captain seats they have. On the other hand, the majority of our aircraft are widebody jets with the commensurate pay rate. We have new hires here now in their early 30s who will upgrade to WB Captain in under 10 years. They will spend over 20 years at the max payrate. That just doesn't happen at passenger carriers. Mil retirees getting here in their mid-40s could still attain that max pay rate for 10 or more years depending on how long they are planning to stay around.

Pay is falling behind thanks to our 6 years contract signed while the pax guys were inking 3-4 year deals. However, see my statement above concerning WB payrates. The WB Captain pay at a big pax airline may be higher, but will you ever see it if you go there? Their 777 FOs may beat us out while you're in the 777 right seat at FedEx, but not by much. I made over 300K during my last full year as a 777 FO and there are guys who do much better than that with some extra work if they want to chase the pay. When you move to the left seat of a WB in under 10 years, while their 777 FOs stay put, you'll probably end up better off in the long run.

Overall, we definitely have room for improvement here but FedEx remains a very good place to work and get paid well. The longer your AF exit horizon is, the more chance things in the industry can change. Pax airlines in general look great now. They're making money, hiring, getting new aircraft. I hope it stays that way. FedEx has been very stable and continues to make money but there are no guarantees. The snap shot I've given you is the way things are now and probably will continue for like this for a few years mostly thanks to steady retirements. Keep investigating and educating yourself on all aspects of the industry so if you end up with a choice, you can feel good about the one you make.