You can check out the Flitz line of products, they have a new tarnish removing spray, and the good old paste that cleans, polishes, and protects (contains wax to prevent oxidizing / tarnishing so quickly). https://www.flitz.com/

Also, there are some cloths with polish directly in them, check out a company called Blitz.

If the lugs are not really terribly tarnished, soap and hot water does well.

You can polish in situ or remove those lugs and spare the shell!!!!

Thank you very much.