I just don't agree with most of the info that is above. Wood, polyurethane, varnish, all are bad for fabric. Yes our ancestors put blankets and quilts in cedar chests. Those quilts often ended up with stains too. I think Ikea has some plastic liners for some of their shelving. I think you would do better seeing if you could get some that would be the size of your shelves. You could turn them on their sides, and put the fabric inside.