I thought the same about keeping them clean but when I was getting the Drz ready to sell last week the local stainless shop gave me this stuff called ‘pickling paste’ , they use it to take the burn mark out of stainless steel after welding.
You paint it on and leave it for about 2 minutes then was off. Tea stains , baked on dirt etc straight off , it was amazing.
My pipe came up like new , ( didn’t take the dents out but
)