Since my cats rule my house and love my fabric as much as I do, I have to use the clear plastic bins with tops. The fabric is sorted by color and are stacked in order of the rainbow (red, orange, etc) because, well, I'm anal I won't lie LOL I do have separate bins for batiks, and holiday fabrics (Christmas and Misc). I have a couple of plastic 3-drawer units that I keep my Fat Quarters and Kits in.
For projects that I'm working on, I keep all those fabrics in a large 2.5 gallon zip lock bag with the instructions and all the necessary fabric for that project. That way those fabrics won't get lost or misplaced if/when they go into UFO status LOL