Pam,
Well, in "my' shop it would be a buffing wheel and polishing compounds.
I can make a couple suggestions for you though;
First try any non-abrasive (contradiction in terms) polish. I use "Flitz". (old fashioned toothpaste works well also)
You can also try putting it on the machine and using "00000 Steel wool" while it is spinning.
But if there is any pitting, it will need to be really polished.
If you would like to send it to California, I would be willing to buff it up for you, no cost.