I will you warn you that parts of this will seem harsh. Please take it with the concern for you and your children with which it is meant.
One of the hardest things when you love someone is recognizing when you need to walk away because he/she is destroying you and other people you love and should be protecting. You need to stop thinking of him and what he needs and focus on yourself and your children.
None of you deserve to be treated the way you are. Your children need to grow up with stability and not learning to walk on eggshells.
It isn't going to be easy and you will need support. I suggest finding a support group for family and friends of alcoholics like Al-anon (
Welcome to Al-Anon and Alateen.) Look into counseling for yourself and your family.
Contact a lawyer and find out what your rights are and what you can do legally to protect yourself and your children. If he physically abuses you (what about the children?), go to the police and file charges. Get a restraining order. Take the children and go to a shelter for abused women if you can't get him out of the home.
Stop playing nurse and start being a mother.
Alcoholics are very easy to enable. As long as you keep trying to help him by propping him up, he won't hit rock bottom and learn what he is losing and has lost. He has to want to get help. He won't until he knows no one else will do it.
All you can do for him at this point is hope that he figures it out before he damages his relationship with his children to the point that it can't be fixed.
Do not even think about taking him back until he has proven that he is getting help. You do not need to add revolving door to the other problems in this marriage.
Please take care of yourself and your children.