Buy a pack of disposable foam plates, then sandwich each regular plate between two foam plates. Voila, no need to wrap each one individually. Just wrap and pad it all together.
A month or so prior to moving, take inventory of all of your big furniture pieces and get rid before moving day. You don't want unwanted pieces taking up space in the moving truck. Sell it on Apartment Therapy or Craigslist or arrange pick up with a local charity.