Tarnish is the enemy, and here are your weapons: For items that are merely dull, filmy, or starting to discolor, mix a few drops of mild dish soap with warm water, and dip in a soft cloth. Rub the jewelry, then rinse in cool water and buff with a cloth until dry. For heavier tarnish, mix a paste of three parts baking soda to one part water. Wet the silver and apply the cleaner with a soft, lint-free cloth (not paper towels, which can scratch). Work the paste into the crevices, turning the cloth as it gets gray. Rinse; buff dry. Don't soak silver; this speeds up rather than removes tarnish.