I'd suggest using Touchups or buffing with a microfiber towel.

Here is a link that might be useful: Touchups

You don't have to use anything special. After cleaning, just dry/polish with a *clean* dishtowel or old dishtowel that has been consigned to the rag department. Clean is the key. And have as many lights on (from the hood, for example) while you're doing it so you can tell if you're missing anything.

Or do what I do: turn off the lights and go to the living room.