I would buy one of those large gift boxes (Michaels?) that come out at Christmas that are kind of hard with a nice lid. I would then remove the paper pieces as carefully as possible and Modge Podge the whole box and lid with them. If you get a really big one, one of the quilts could go into it wrapped in acid free paper when it's done. Or you could do the box or a set of boxes for storage in your sewing room. I would keep the quilting simple on both the quilts because it will take a while to do them. Good Luck!