Sitting in the garage watching TV, went over all my stainless with 400, then 600, then 800, then 1,000, then 2,000 grit papers dipping the paper often in a pail of water. Hindsight I probably could have skipped the 600 and 2,000 grit?
The sanding was followed by Black rouge then White rouge (polish sticks)...on 4" buffing wheels placed on my grinder (gotta remove the grinding wheel covers to be able to really get good access.
The sandpaper can be found at any autoparts store. The buffing wheels and rouge can be picked up at Lowes, Home Depot, any welding supply store...
If you don't have the scratching I did, you can probably skip the sanding all together.