Hello Txsuthrn,
Yes, that is the best method, with either a soft cotton cloth or a ball of cotton wool. When you give the machine a wipe with a clean cloth afterwards the shine will come up. For the metal and chrome parts you can use a metal polish. I use Peek metal polish, which comes in a tube, obtainable online from
http://www.tri-peek.com but you might prefer another metal polish. Just make sure you don't let the metal polish get anywhere near the decals.