Wonder Under is usually used to bond two fabrics together. Fusible interfacing will give a little stiffness to collars and cuffs on shirts. Fusible fleece is often used as the batting when making vests, tablerunners, or placemats. The fusible fleece gives the item a little thickness helping any quilting texture to show nicely without the bulk of regular quilt batting. Does this help any? I would think you might want to stick with the fleece for the handbags. But that is just my opinion.