WOW, am77, I am sorry to hear what you are going through.
If it were me I would not be moving anywhere with him at this time.
No trust = no relationship. Way to many lies coming out of his mouth.
Pay attention to his actions, his words are meaningless.
You and your child have made a good life for yourself, no point throwing away your current stability for an active alcoholic. You and your child deserve better.
In reading your post I can't help wonder if he really truly ever quit drinking. Please take the time to educate yourself regarding the disease of alcoholism. The stickies at the top of the page are a real eye opener. Keep reading and posting, you are not alone.
More is going to be revealed.........
Take care of you.........