How will I make it up to my family? I am an alcoholic!?

Just recently my wife took the kids and left. I am so thankful to her for that now. And I thank God for the events that have taken place and giving my wife the courage to stand up to me for herself and our children. This is the second time she has had to leave me. I am sober now and plan to stay that way for myself. I want to add that I work offshore on a 14 and 7 schedule. I am not a violent drunk but verbally abusive without yelling and screaming. I know in my heart that she would take me back again even after two months but it's only been a month since she left. And I'm going to stay apart from her till I get my head together so that this will never happen again. I love her and our children to much to take the chance of hurting them anymore. When we are together again and if I want to be the best man I can possibly be for them and myself. Our home is about to go into foreclosure so I'm gonna stay there and get as much help as I can to make sure this never happens again. The best thing she could have done she did and is doing which is ignoring texts and phone calls but I get to hear her voice once a day. I don't know if my baby read a book or if her faith is guiding her but I am so grateful for what's taking place. The phone calls are very short and then that's it for the rest of the day and in trying to deal with the pain of her leaving I looked for answers I couldnt bother her with them I was forced to figure this out on my own. And with what I have done and said she may never take me back and that's something I'll have to deal with. I never cheated on her or beat on her or my babies but a person can say and do things that hurt far worse than that and I'm scaired she won't be able to ever forgive me. So my question is where can I possibly start in righting my wrongs to my family. I know to never drink again. And I love her so much more now knowing what she did for herself and the kids and even myself. It makes me wanna ball up and cry to know I may never get the chance to show her the new me. It's very short lived being sober so far but I have looked back and actually remembered almost everyway I have let them down or hurt them. Now that I can see past myself it's very heartbreaking and I have a constant lump in my throat and stomach. And that's just me realizing what I've put them through I can't imagine the pain I've caused them. Number one don't drink ever again! So steps three four and so on are? Any advice? Thanks for reading my question.