Happy New Year Surfbee,
Congratulation on your baby boy. It sounds like you and the baby are doing good. I hope it will stay that way. I know your plan is to move in to the place you Abf is fixing up. But you also have to look at the big picture. You are posting here because of your Abf has a problem with Alcohol. Yes he is drinking less, but is he also getting help. You need to take it slow and not rush into decisions . Communicate with him what you expect from him.
I hope you have a great start to the new year and keep being strong for you and that new baby boy. Once again congrats.