White stains and stainless steel cookware
These are just mineral (calcium) stains from your water source. They will not affect the stainless steel.

The quickest way to clean stainless steel from burnt on oil, food, and water stains is to use a polyprop/ester scouring pad (e.g. 3M's branded as Scotch-Brite).

Use a little liquid dish wash soap, a poly scourer pad, and a generous serve of elbow grease. It's cheaper than going to the gym :-)

Stainless steel is a hardy material, and does not need delicate handling.