Welcome,
Move out and don't look back. He has a lot of work to do on himself to get healthy. It is not only the "stop" drinking part, it is about growing up, sobering up and working a program. They have to be fully commited to staying sober, its really not easy.
Let him do this on his own. You/we can not help the addict in anyway. You have enabled him to get to this point already. Step back and let him figure sobriety out by himself.
Protect yourself and your children. Take this time and work on creating a healthy enviornment for your kids to grow up in. Its about the kids, not the addict anymore!! Maybe when he has a year of sobriety under his belt, and you see his changes, you can think of working things out.
Hugs and keep posting.