Hey another "Jane"! Cool!
I'm glad you made the decision to start the journey of recovery. I can't necessarily tell you what will work for you but I know what works for me so perhaps some of it can help you too. I go to AA because I like the sense of community and real support I get there. I have a sponsor. I work the steps. I used to do a lot of meetings but as I get further into recovery I settled on one or two per week and that works great for me although in the beginning I needed almost everyday scheduled to avoid temptation. Plus, going to AA taught me so much about service (volunteer work) which saves my self-obsessed butt often since it gets me OUT of my crazy head. Also, I've made great friends there. It's not a perfect program but people always say "take what you need from it and leave the rest" so I listen to that advice. Some meetings are better than others too so you may want to look around a bit.
I think it's great you're seeing a specialist / therapist. I do this also. I love the guy I found - he's the best counselor I've ever worked with and we have a great trusting bond. He helps me with my drinking and drug cravings but also with depression, anxiety, insomnia, relationships, self esteem and all kinds of other life issues. He is into holistic healing and his teachings motivated me to take classes on Buddhism and meditation (which are amazing and I love even though I'm a bit "ADD" at this phase of my recovery) and I seem to be finding a spiritual side. Spirituality is very important to some people in recovery. If you have an idea of a higher power that may help. I know people who do it without that part too though. No saying you must believe in anything specific to get sober; if you believe in yourself and your ability to conquer this terrible affliction you can do it! You beat an eating disorder (me too, haha, we should be buddies I guess!) so that proves its possible right? You are stronger than you know. Don't forget to tell yourself this!
Last thing, the main advice is : just don't drink one day at a time. If the day thing is too much break it down to hours and just say you'll go the next minute / hour / day until you give up. Wait out those cravings anyway you can. Usually they pass. Some days are hard but each hard day you make it thorough will build you up even more. I wish you the best of luck! Sorry my reply got a bit longer than I intended but I sincerely hope it helps.
Hugs and welcome!