Oh, hon, I really feel for you.
Welcome to SR - you've found a great place to find the answers to your questions.
How do you live without trust? I couldn't personally, so I left my A fiance. However, I don't have kids and I know that would have made it much harder. Is he doing anything to win back your trust?
Have you tried al-anon? It was a great support to me and I still go even though I am no longer with the alcoholic. Also, get hold of a copy of "Co-dependent no more" by Melodie Beattie. If you're anything like me, it'll become your handbook.
You can't make him get help - he has to want it himself. If he's not in recovery, whether AA, Rational Recovery, LifeRing or whatever, these relapses are more than that. It is more like old behaviour.
Keep coming back here - it's been a lifesaver for me.
Love
Minnie
xxx