You have two issues. And they appear intertwined.
Sobriety is possible, even in a relationship that is a trigger for drinking, but it will be a struggle. But once you are sober, you will be better equipped to start working on the other issues, the ones that keep you in an abusive relationship.
Read around the forum. You aren't alone. There is a lot of information about recovery methods and getting sober. I suggest a visit to your doctor, honest admittance of your drinking and desire to get sober, and see what she/he recommends as far as dealing with withdrawals.