Hi Karakyle - welcome
lots of good advice here - I think you have too things you need to sort out - your drinking and your relationship - I wouldn't drag my feet on either change, personally.
Your addiction will use anything....your fear and discomfort - even your sense of responsibility to an abusive partner - to stop you from making any changes.
Fight that.
Your new life can begin as soon as you want it too, y'know?
D