Prep it

Boil the water. While it’s simmering up, line the bottom of the bowl with the tinfoil, shiny side up. Cover the entire bowl with tinfoil. Then, add the salt and baking soda to the bottom of the bowl. Add the vinegar slowly (prepare for the fizz) and mix everything together to dissolve the salt and baking soda. You want all the granules to dissolve so that they don’t scratch your pieces 

Wait

Add the boiling water to your bowl and then gently drop each piece of silver in the bowl. Just let it sit, the chemical reaction does all the work for you. If you wish, you can flip them over with tongs, just to ensure that both sides get exposure to the tinfoil.
Polish

Take each piece out carefully, being sure not to burn yourself, and buff it gently with your polishing cloth. It is safer to do this with yellow dishwashing gloves on. You should start to see all the tarnish come off and all the original glory of your silver come back!