Don't move out, biggest mistake you can make. Hire an attorney today.
You have as much right to the house and kids as she does but it will be a fight. A fight you can win.
I went through this many years ago and got custody of my two boys when they were six and eight. Had to sell the house and split the proceeds. The mother had visitation rights.
I raised them and paid for everything through college. It wasn't easy and it certainly wasn't cheap but it was the best thing I ever did. I didn't remarry until they were both out of college and off my payroll.
Remember this and repeat it daily: "Bless those who disappoint you for they are leading you to a better place". The wisdom of this may not become apparent for several years.
