I clip the hangers I get for my slacks to the tops of the med & small cutting mats I'm not using and store them in the closet. I've also labeled them with one of the millions of return address labels you get in the mail every day. So when I take one to class or retreat it's easy to retrieve.
The larger ones are either on the cutting table or on the floor for the huge mats.
This is my first response but I have enjoyed and learned so much from reading many of your responses to the questions posted for some time now. As a full time administrator and part time quilter, it's made my life easier.