I wash mine in a mesh bag then fold in half twice then thirds in the other direction so they fit in the dollar store baskets that I use to hold them.
I have nine baskets full so far and need to get to Dollartree to get more.
They are clear plastic with handles and they come in different colors so you can color coordinate with the fabrics. Of course there is not enough colors of baskets but it works for the basics. Since you can see thru them the fabric is easy to see.