Re: I'm an alcoholic. Husband says he's done.
I am married to an alcoholic. My feelings for him are gone. He is trying to rekindle them, but has not totally quit drinking. I guess it depends on the amount of damage done. I have over twenty years of neglect and damage to overcome. It does not sound like you and your husband have as long of a history.
Firstly, you are doing everything you can. You have admitted to the problem, and are getting as much help as you can to overcome it. Admitting to it is big! Your husband needs to trust in you. He needs to trust that you will not revert back. That could take time. It is a scary thing to trust again, especially when the well being of your children are involved.
You also need to understand that he does not owe you forgiveness, love, or reconciliation. You have done the damage here. It is not on his shoulders to forgive and forget. It is on your shoulders to prove to him that you are deserving of forgiveness, and you need to understand that may be all he is capable of. He may not be able to love you again. Do not get angry with him, or blame him if he cannot feel love again.
This, ultimately, is about you. You have to do this for yourself. You need to kick this so you can have the best life for yourself. If your husband manages to feel love and you reconcile, that is great. It, however, should not be why you are doing this.
I wish you all the best. Your kids need you. Do this for yourself, do this for them. Life has so much to offer.