How do I polish stainless steel with a dull appearance to a mirror finish?
Some years ago Solvol Autosol stainless steel/alloy polish was _the_ product to use. It should still be available from Halfords or similar outlets. By repeated application and a lot of elbow movement, an motorcycle alloy gearbox could be made to look like a stainless steel mirror. It was effective on dull stainless steel car bumpers, too.
To be honest you need a lot of time and patience frst and formeost, then a lot of elbow grease to polish iwth varying grades of emery cloth, going up to a fine buffer pad It will be easier to go a local fabricators who specilise in SS and buy it of them, a sheet of SS 16g is about £200 at the moment , but if they have an off cut you may find they will let you have it
There is a product made by the same company as Bar Keepers Friend, it is called Copper Glo. I have used it for 30 years to clean stainless pots and pans and sinks. The house I am currently living in, 6 years ago when I bought it, the stainless kitchen sink looked as if it had never been cleaned. I used the Copper Glo and a Scotch Brite scrub sponge and after about a week of daily scrubbing it looked like a new sink. You also need to make sure that your stainless sink does not have a satin finish. If it does it will not shine like glass, but you will get a low luster sheen from removing all the tarnish.