GG - you have already taken the first, most important step of all, and that is to admit that you are an alcoholic.
Our son came to us three years ago now, having survived an almost successful suicide attempt, dressed in rags and painfully thin. His marriage had broken down, he was taking drugs, living in his van, suffering from undiagnosed depression, and yes, he is an alcoholic.
It has been a long, hard road, so we know what you are going through, and it isn't easy, but the support is there if you look for it. Hopefully you have family who will help you, and yes, you will probably have the odd slip along the way to recovery, but it doesn't mean that you aren't making progress, so never give up.
Not only your doctor can help you, but there are other sources who can support you with talking therapy, and it is important that you get this and can talk with people outside of your family in confidence. You may find, as we have done, that you will have to fight for this help, but don't be fobbed off, it is very important that you get it. Never feel ashamed - this is an illness not a lifestyle choice, and it's a difficult one to live with, but it can be done, and you will be surprised how many others are in the same boat as you are.
I'm sure that everyone on this site wants to support you, and we'll always listen if you need to talk, vent, or whatever you need to do to help you on your way through this.
Well done for taking the first step, and a big hug from me to help you on your way.