I wouldn't put to much confidence in guys bidding into LGA using the mutual base exchange option. Guys who want LGA are typically already there.
If you're timing is great you'll be on property just before the quarterly bid vacancy runs. Get your equipment assignment on day 2 and enter your dream sheet requests that evening. In a perfect world the assignments close the next day and you get your dream sheet award about 10 business days later. Example late July awards were for December. But they can release a same seat guy in November if not earlier. So a July newhire to LGA 320 could be in LAX by November, or earlier, and NLT than December. There's some exceptions and caveats but that's the basic concept. That same July new hire wouldn't finish IOE until September at the earliest and perhaps more likely in October so the commute could be as short as 1-2 months. If your timing is right after the bid is run you can add about 3 months to theses estimates.