Just a small aside...
Years ago, (well maybe more like decades) my mother had a bunch of Revereware pots with copper bottoms. She absolutely insisted that they be polished after each use.
My great uncle, who knew a thing or two about metals and heat conduction, told her that she was not doing herself or the pots any favor by removing the tarnish. They actually conduct heat better with the tarnish intact.
Peeking into kitchens in French restaurants, I have yet to see a polished copper pot in sight.
My copper saucepan wears its tarnish proudly.