I keep most of mine in IKEA Anotnius systems. 2 are stacked and in the closet and 1 is under the table with my embroidery machine on top and this is where I usually put my current and next projects. I can see at a glance what I have, the baskets won't rust and pull out easily, and the bottom of the stacked one, and the solo one are with wheels so I can pull them out if I want to rearrange the fabric.
I dislike plastic bins because I don't want to harm the fabric and I can't see through them.
ali