The thirty day notice depends on what state you live in. I'd check with a lawyer.
And I understand the wanting to wait until after the holidays. At the same time, someone said to me when I said "I'm going to leave when I've paid off my credit card debt and done these other things" that "You know, you're sounding just like an alcoholic: I'm going to quit drinking after the holidays/vacation/this stressful period at work is over. If you were committed to quitting, you'd quit now."
That's not to say "You should leave now" -- just that if you're not ready to leave now, don't beat yourself up over it. You'll be ready when you're ready.