If you go to any decent hobby shop, you will be able to pickup plastic wet/dry sheets of 4000 grit and above. Testors makes a paint finishing kit that includes several of these sheets, ranging from about 1000 up to around 6000 or so. I'd recommend starting with around 220 if the surface is very rough, then wet 220, then 400, wet 400, 600, wet 600, then either those plastic sheets or a polishing compound. the 4000 grit plastic sheets weren't really made for metal, so I'm not sure how long they'd last, and they're expensive. I think after 600 grit polishing compounds make the most sense. If you want a very mild compound, chrome would be good, silver polish is probably the softest you'll find. Just my $.02
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