If you have extra wall space in your closet, you can easily put Command Hooks on the wall and hang them from those.
Mine are in boxes and on a shelf in my closet. I have a lot, so stacking boxes make the most efficient use of space.
I purchased a purse holder (clear plastic) from Bed Bath and Beyond with a thick hook for the closet and it now holds about 10 purses. It really works well for me.
I have mine on the top shelf in the closet, above clothes. I use dividers to keep them upright. I place them in the bag and stuff with tissue paper to protect them and keep their shape.