There are many tips and tricks on how to clean silver,but most of them involve rubbing or polishing it after.And toothpaste is kind of messy to tell the truth and it isn't really quick either.The following tip doesn't require a lot of fuzz.
a plastic bowl
your favorite silver jeweler
laundry detergent/washing powder (preferably the one for hand-washing or biological one)
Place all the jewelery in a bowl,add 1-2 tablespoons of washing powder and add hot (not boiling!!!) water.
Wait for 10-30 minutes depending on how dirty the jewelery is and remove it from the bowl.Rinse and pace on a towel to dry.