How do I refinish a stainless steel sink?

Use automobile metal polish. It will cle an it and polish it.

I use baking soda on mine.

Did you try white vinegar and baking soda.

I use soft scrub then wipe down with stainless steel cleaner

Try cleaning with alcohol and shine with baby or vegetable oil.

A paste of baking soda and water applied to slightly wet porcelain then rubbed with a soft cloth in the direction of the grain should clean the sink. Apply a good quality car paste wax to reduce cleaning, but rinsing wiping dry after use is best to avoid stains from setting.

Use of a sink protector and "saddle guard" if warranted will reduce liklihood of damage from dropped dishes/utensils.

Cleaning a Stainless Steel Sink

Before you refinish the stainless steel sink, it will need a good scrubbing. This can also restore the sink to a degree. Give the sink a bath of vinegar and rinse dry to take down the hard water deposits and daily grime that can collect on the stainless steel surface.

Cleaning a stainless steel sink with steel wool may work best when it's layered with grease and grime. Bob Vila recommends that you scrub in the direction of the steel grain and be sure to use a fine steel wool and move carefully over the surface to remove caked-on crud. This will have the added benefit of removing hairline scratches.

Clean the sink with hydrogen peroxide to further remove dirt and ensure a good cleaning. If you are satisfied with the cleanliness of the sink, polish it with WD-40 sprayed on a dry, soft cloth. Rub this into the sink for a polished finish and a somewhat protective coating.

Refinish a Stainless Steel Sink

Sanding out the scratches on a stainless steel façade can remove the unsightly flaws, but it does take a gentle hand and the proper tools and techniques. A stainless steel scratch remover repair kit will contain all you need to completely clean, repair and, typically, buff out and polish the stainless steel sink or appliance. Or, you can grab a sanding block, 400- to 600-grit sandpaper, an abrasive pad or a quality rubbing compound to finish the job.

The Family Handyman notes that this technique only works on plain, or uncoated, stainless steel fixtures and appliances. Take your time in working on the scratch. If you can, test out your technique on an area that isn't easy to see or a sample of stainless steel that you can get from a hardware store.

With the lowest grit paper or abrasive pad, begin to move over the scratch in a zigzag pattern. Use sanding fluid to create a good bond with the sink that allows you to glide over the scratch without ruining the surrounding finish. It should only take a few minutes to remove. If not, try the next coarsest grit sandpaper.

ref:https://www.hunker.com/13416903/how-to-refinish-a-stainless-steel-sink