Hello, and well done for making that first step.
I exH is an alcoholic and I think the biggest mistake he made was finding the initial giving up alcohol thing a sign that he didn't really have a problem. He did all the meetings, said all the right things but ultimately he decided he could have just one drink.
Of course he couldn't. Initially I was incredibly proud of his admission and subsequent decision to seek help. It worked for a while but he didn't address many of the other things that were going on.
What helped me was to find out as much about AA as possible and to go to Al-Anon which is the support group for families of alcoholics. It helped me to cope the cycle that followed. Maybe this would help your DH too.
I met loads of AA members over the years and what struck me (particularly of the long termers) was the help and support they offered to newcomers. Many came to our house to talk and give practical help when my DH was detoxing. He has to withdraw gradually from alcohol and had a plan for this agreed with the GP.
It's a long road but much easier with the support of the AA. The CBT will help too; it doesn't have to be one or the other.
My DH went to a meeting every day. He probably doesn't now (we are divorced, I've no idea what he does!) and I think he found this really useful to have that constant support. Of course I was literally left holding the baby during this time and he asked me if I was ok with the amount of time he spent at AA meetings. Frankly I would have enabled to him to go twice a day if it had helped.
I felt very lonely during the whole thing but felt I couldn't share with friends and family as it wasn't my story to tell. This was why Al Anon was so helpful to me.
He had issues sleeping too and tried meditation, acupuncture and things like that. When he first stopped drinking he was advised to replace alcohol with sugary drinks initially to help his body cope with the withdrawal process.
You haven't said how much you drinking. In his case he was drinking all day every day so cold turkey was dangerous. I hope you are aware of this; I wasn't, which is why it's so important that you seek medical advice too.
Good luck at your first meeting. X