I'm not surprised that talk about getting help for her drinking problem has intensified her drinking. The thought of giving up alcohol is very anxiety-provoking for an alcoholic.
The bottom line is that nothing you do is going to prevent her from drinking. This is terrible for the kids, as Anvil points out, and terrible for you, too.
Why are you moving--for your job? I sure wouldn't want to move across the country with an alcoholic partner. I did that, during a brief hiatus of semi-sobriety, married him, and then was stranded with him. It will be much harder for you to leave if she has no friends or family around.
How old are the kids? Where is their dad--is he in the picture? Does he know about the drinking? If it's feasible to do so, I'd let him know and let him take responsibility for their welfare.