I think a lot of it will go away, especially the puffy face. I've been watching episodes of "Intervention" lately, usually the alcohol episodes, and you can always see a huge difference in their faces after treatment.
I've been alcohol and cigarette free for a month now and I can definitely tell a difference in my skin. I never really got the puffy face thing. But I have been drinking half my body weight in ounces of water a day, taking a daily multi-vitamin, and eating a balanced diet. I do keep track of my daily calories now, and have lost 10 lbs in a month.
So I'm sure it will get better for you! There's no way it could get worse if you stay sober, remember that. And of course, not to mention all the other health benefits of not drinking.
Wishing you much luck and success!