Welcome to our corner of the world. I have been here FOREVER! I just hang around to see how everyone is doing and periodically complain about my ex.
Sounds like you have pretty good legal counsel and that's a biggie!
I had a friend here who was separated but still living in the same house. It was REALLY difficult for him. I hope your assessment goes well so you can get the mortgage and get her moved out. If you have the house - it will likely increase your chance of your D wanting to stay with you but have you asked her what she wants to do? It is SO hard on the kids. My 3 stayed with me but then - their dad didn't want them so there was no choice to make. And they did not want to meet OW (still DON'T).
The $ stuff usually works out ok in the end although no one really gets richer. It is a bit tight for a while. I stressed in the beginning but it settled down over time once I had a budget figured out.