Welcome Lucky Cat, glad you have decided to change your life earlier rather than later, it gets progressively harder the longer you let the addiction dominate your life.
Wont lie, it's not easy, there are going to be some trying times ahead, but I have found at least that a forum to talk out, and read other peoples experiences has been a Godsend.
I probably going to sound like the broken record, but to echo others; quitting the alcohol is hard enough in itself and plays havoc with your brain chemistry, digestion and general body function. So add on the fact that your eating disorder is also having at go at all the same things simultaneously, that's reason enough to seek some medical advice ASAP before things might get out of control.
But, it's good to know that you have made the decision to change, that in itself is awesome.
Keep us all updated