I couldn't read and run. I have experience with alcoholism, and I want to say to you that you should be very proud you are taking this step. It will improve your life and that of your children in so many ways. I've seem what alcoholism in a family can do, the longer you continue the worse it will get. I've personally known two alcoholics die from it and a much younger age than they should. Leaving my kids without a grandparent and devastated by it. My DH without a parent. No matter how many times he tried to address it with them they refused to acknowledge a problem and they struggle with that knowledge now that parent has passed. Could they have done more etc etc.
I understand that the root of your alcoholism may have come from your own parent. If its possible some counselling could help you with the cause.
From the perspective of actually giving up alcohol I'm not sure i have a lot of.practical advice. I know people who have been prescribed medication to help this. The problem is it is an addiction and you are fixated on it. It could help to have something to directly replace it. Whether it's sparkling water or a favoured soft drink. Or acknowledge your triggers and try to have a plan for when that happens. Maybe take up crocheting so your hands are always busy.
Each time the craving hits, repeat a mantra jn your head until it passes. Im doing this for my kids, I'm doing this for my kids. Etc etc.
You have the experience and you know what damage it can cause, just think is this what you want for your kids? Is this the life experience you want them to have? You know you can do it. You've already done it before, when pregnant and protecting your baby, now you are protecting your children, there is no difference.
Take it one minute at a time. And the very best of luck OP. Someone else will be along soon with better, more practical advice for you x