Hi Uncle Paul, as has been suggested the car polish is the way to go,
do not touch that 409 stuff, its like acid to a finish like that.
Get yourself one of those orbital car polishing/buffers from home depot (Ryobi) probably about 30 bucks. Find an inconspicuos spot & give it a try, a lot of furniture shops use this method to give their high gloss finishes that mirror like finish/look. May even get some of the scratches out, bottom line is, unless you send them out to a shop it will require patience & elbow grease.
Good luck & let us know how you make out.