Rob: I've had good results using two products, Meguiar's Plastx - a very fine liquid abrasive designed to remove the cloudiness from convertible plastic rear windows, or Turtle Wax Swirl Remover - a similar product to remove swirl marks left by buffing wheels on car finishes. Depending on how deep the scratches are (fingernail test) you may have to do a lot of hand polishing, but you will see an improvement based upon how much time you're willing to put into it. Power buffing wheels work well, but tend to sling the polish around and can burn the finish if you're too aggressive. These two products also work on scratched piano keys. Good Luck. Mike Kurta, RPT Chicago chapter
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