We fold our cloths and store them in a bag. The tops are some kind of polyester, and as long as they aren't crumpled, they don't wrinkle easily. The skirting is a cotton/poly broadcloth, it does have a few lines from folding, but since it's a dark colour, it's not that noticeable.
We roll our curtains on wooden dowels, it is great way to keep down wrinkling, then we use a bit of masking tape at the bottom to tape the end of the cloth to the rod. You could go to a fabric store and ask for one of their cardboard fabric tubes or squares, to roll your fabric on.