Carefully wrapping all of our glassware in bubble wrap and newspaper only to drive it ten minutes to our new house and unwrap it was making us a little bonkers so we came up with an idea.
We borrowed some dish racks from a local restaurant and it made packing up our kitchen much simpler (not to mention greener). The racks are stackable and very sturdy and would probably work well even for a longer move. And they come in all kinds of configurations so they hold different shapes and sizes of dishes.
If you can't find a restaurant in your neighborhood willing to part with a few racks for a day or two, you can most likely find them at a store that sells used restaurant equipment (in Rhode Island, try Business Surplus Inc).