NFL season is very doable in the eastern, aside from the late Monday night game on the opening weekend, think it starts at like 10:30 EST, but could be wrong. Speaking for myself, I love being able to go to church, then go out for lunch, and still get back at least an hour before the 1pm kickoff and have time to research my endless list of questionable players each week. Staying up until 11:30 for the Sunday/Monday night games to finish isn't a problem for me.
As for basketball and baseball, I couldn't imagine being in the pacific and having many of those games starting at 4pm each day. That is too early. However, on the east coast, it sucks having the late games starting at 10 or 10:30. Those games I can usually only watch the first half or maybe the first 3 innings. Definitely hate that, so somewhere in the middle would be preferred, either Mountain or Central.
Obviously, being retired, you would have your own preference and probably wouldn't be concerned with missing the games that start earlier, say 4 or 5 pm, but sounds like you aren't trying to stay up too late. Sounds to me like you have to consider either Pacific or Mountain. I think Central would be my own personal choice for myself, giving me another hour to watch the late basketball and baseball games and still giving me time before NFL games.