easiest way to clean tarnished silver?

Aluminium foil, bicarb and hot water. Line a bowl with foil shiny side up, sprinkle in a couple of spoons of bicarb, pour over just-boiled water and drop the silver in so it touches the foil. The tarnish moves off in a few minutes and you barely touch it. Don't do it with anything that has stones glued in or a deliberately blackened finish in the engraving though, it strips that too.