I've never done corporate/charter before so forgive any inaccuracies.
Some questions to ask yourself and, perhaps, this potential employer...
1. What are the chances of remaining here long-term? Over the years, I've seen people I know go corporate only to see the flight department shut down. Sometimes, it shuts down after a 20-25 year career there, others less than a year.
2. With your flight times, it seems you could be moving to the left seat in the near future. Will this improve things?
3. Do you commute? Commuting sucks. That's all there is to it. Commuting sucks a little less at a major but still sucks. I recently changed employers so I wouldn't have to commute and am back in the left seat without a commute. That makes a big difference in QOL.
4. How long do you project a move to DL/another major will take?
I understand the time away from family issues. I left my first airline job before my oldest was born. I was at my second airline job for six months when my youngest was born. The second airline was Comair and I stayed until the end 15 years later. There are no guarantees in 121 or corporate. As seniority increases, your time away from home should decrease. It does take time.
Good luck!