M.B.
You need counseling. You still love & enjoy your husband (at times), you both have simply gotten into a routine that you are no longer happy with. He doesn't want to change (by helping out) b/c he hasn't had to for years. I'm sure he enjoys coming home & taking a nap & playing games. But it's time for him to grow up & be a dad. You two need to work this out before you decide whether to move or not. It's urgent! Please do this. Some insurance will cover counseling. Even if your husband refuses to go, you need to go to help decide what you will put up with and what you won't in your marriage. (I'm afraid you'll move without him, get divorced, and eventually get into another relationship. And this same pattern will occur. You need to work on your current relationship -- it's needed now & for your future!)
Good luck. You've got a lot of work ahead of you, but it'll be worth it. The best time to work on a marriage is when you don't have problems -- make specific time for each other, play together, talk together, grow together.