I have no problem with plastic storage totes. Mine are in the basement where I sew, it is a really dry basement so moisture is not a problem. I have a large amount of fabric in my mothers old cedar chest, I completely lined it with a stick on shelf lining product and have not experienced any problems yet. I have to wonder about the fumes from the cedar. At this time I do not have an option for other storage....but may need to rethink the chest.