Storing fabric next to wood can be detrimental to your fabric, acid, color, splinters etc can do harm. So any where your fabric could come in contact with wood, you could have a problem. I think using an old secretary is a great idea. I use an old jelly cupboard for my quilt kits, the shelves were removable, so my husband covered the top of each shelf with removable contact type plastic (duct taped on the bottom of the shelf - didn't peel off the sticky stuff protector). He did the same with the sides. But I have stored fabric in my mother's old dresser, and haven't had any wood transfer, but I think the inside of the drawers are sealed.