Many people have found that they can remove the tarnish from their silver using a process involving mixing boiling water with baking soda in a foil lined pan. This is a page about using baking soda to clean silver.
The mild abrasives in toothpaste make it an inexpensive cleaner for silver including some styles of jewelry. This is a page about toothpaste for cleaning silver.
Silver can become tarnished in many different ways, but tarnish resulting from bleach is sure to require some thorough cleaning. Here are some ideas about how to fix sterling silver tarnished by bleach.
This is a page about polishing silverware. Polishing silverware was a lot easier when the butler did it. Well cared for silverware makes for a beautiful table, but removing the tarnish and keeping it gleaming can seem like a lot of work.