When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network.
I've had good luck with 0000 steel wool and chrome polish as a lubricant to prevent scratching. It looks like stainless. If it's chrome, you could go crazy and use aluminum foil and Coke.
Thanks for all the great ideas. I will try some of these this weekend hopefully. So far all I have tried is a bit of autosol Polish and a microfibre cloth.
If you're looking to just clean it up, I'd go with 0000 steel wool and chrome polish to start. If that's not enough, you could step up to a buffing wheel & compound, going easy on the abrasive at first (don't start with a sisal wheel and a rough emery compound).
Neither those are not going to do much with any damage to the base metal, like rust pockmarks that go through the plating, but it doesn't sound like you're looking for a concours-quality resto.