Ok. I think seeing the L is a good thing. But, as long as you can handle it (and I think you can), I would not move out of the house. Easy? Yes. The right thing to do? Only you can answer that.
You don't have to like her right now. You just have to be able to deal with your current situation. Unpleasant, but not impossible.
Go talk to a L in the morning. But don't make any major decisions just yet.