If the reverse-painted glass objects you buy are not usable, the label will say so. If your reverse- painted glassware is meant to be used (at Sela Miles, ours is) it should be dishwasher-safe. However, if there are bits of decoupage paper within the painted design, the objects should be hand washed in mild sudsy water and thoroughly dried. Once dried they can be stacked just like ordinary dishes.
These plates and platters are meant to be displayed like fine art on the wall in groupings or on plate racks. The last place I'd display them is in a traditional hutch because it's boring. If you have glass-front kitchen cabinets, it's a nice idea to display one or two plates on stands and stack the rest. I always hang my big platters on the wall and take them down when I have a dinner party and need