Welcome to HealingWell and the Depression Forum.
I am sorry you are needing a place to live as things have not work out well for you and the person you are providing care to.
I think is very important that you realize you do need to move and start to care for your own health.
You may look in your newspaper for rooms to rent that would take pets.
Otherwise I would check with your local Community Service or perhaps your church.
I hope you keep posting as you will find the members very friendly