I've been trying to eat healthy too, but as soon as I get the urge to eat something unhealthy, I follow it, because now is not the time for me to feel deprived. Do what you feel like doing, only exercise if it makes you feel better. All the healthy habits in the world won't save your life if you don't stop drinking.
It took me a while to accept the "never again" idea, but it really is the only way for me, and for anyone who has tried to control their drinking and failed time after time.