Jer, I am so sorry to read that you've had an emotional conversation w/your wife. Is your name on the house? If your wife is so unhappy w/the way things are, then maybe she is the one that needs to leave for a while, at least to allow you time to get established in your new job and look for a place to live. There is no way that you are going to be able to a place to live quickly and yes, you will need furniture. Maybe you need to make a list of the furniture you would like to take from your current home. In fact, I would go thru the home, identify what you want and give her the list. She needs to face the fact that she doesn't get it all, i.e., that she shared a life w/you and you have two kids together.
Jer, I know this is difficult for you, but don't roll over and give her everything. You are entitled to some of what is there. Don't make this easy for her. If she's unhappy, then she needs to go.
I'm keeping you in my thoughts and prayers.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.