You can buy silver cleaner from the jewellers, and use a toothbrush to gently brush your bracelet clean. Alternatively, you could pay the jeweller about $10 for them to clean it up for you.

Best to purchase silver cleaning products from a jeweller.

you could also buy a cleaning kit from a jeweler

I have found the best way to clean silver is to soak it in boiling water with bicarb soda. Line a bowl with alfoil and then add 1 tablespoon bi carb soda and 1 cup boiling water. Put the bracelet on the alfoil and let it sit. Turn it over. It will clean the bits touching the alfoil. When clean give it a rinse and it should be good as new.