I'm sorry that happened. You should not have taken the bait. She did that garbage purposely to get you to react. I don't know what to tell you. Moving is a hugely drastic step, especially if it changes the financial arrangement. They probably are trying to get you out of the house so they can get in it.
Think carefully before you leave. There is no going back. If she's not filing charges she's not filing charges. And besides, what is the sentence for hair-pulling anyway? It's just uglieness, and you are above it.
