I keep mine in big rubbermaid totes. Quilting calicos are divided by color, style (yarn dyed plaids, batiks, colorwash, Depression era), and season (Christmas, baby). Battings are in totes according to fiber content. I have smaller totes for current projects. Dressmaking fabrics are in totes, not very neatly categorized. Notions are in smaller totes. I keep them all in the attic.
I have a LOT of Rubbermaid totes.