My elastic, wire, silk and thread are nutotious for getting tangled and unravelling of their own accord. The best way I have found for storing them is on a mug tree that keeps the thread separate and easily accessible.
Occasionally either I loose or break the little plastic cuffs that stop the thread unravelling. Luckily I have some elastic replacements that I bought from Beadalon.
Handy!
Anna's Pearl and Bead Restringing 