line a glass bowl with alfoil on the shimy side up, add bicarc of soda and hot water (which will bubble) and drop the silver into it for a couple of minutes. The fizz lifts off the tarnish. Rinse it in purified water and dry it with a jewellery cloth or chamois. I used to work in a high-end jewellery store while I was at Uni, and that was all we used

I have done this as well and it makes silver look new again. I heated the water in the microwave, however slightly boiling the water worked wonders too along with the Baking Soda (sodium bicarbonate).