Legal Question in Family Law in Texas

You'll want to file a petition for divorce and ask for temporary orders. You'll ask the Judge to give you exclusive use of the house during the pendency of the divorce.

You won't have much luck getting the Judge to kick her out of the house. What are your plans for the child? To live with her or to live with you?

If you are serious about asking a Judge to kick her (and the child) out of the house, you should propose a plan (at the hearing on temporary orders) - about giving her time to move out, and you paying her money every month.