I would not stay living in the same house with her.
Also, it would probably be a good idea to be able to always be able to prove where you were and what you were doing.
At one point, I showed used plane tickets and receipts to prove I was 1000 miles away when my ex wife was claiming I was somehow bothering her by driving by her house, etc. I was actually called on my cell phone, while 1000 miles away, by the police, demanding I open my apartment door. Kind of difficult to do that from numerous states away.