Howdy Gary, Hope you like the new drums. Just remember to Never use course paper towels or anything abrasive on the finishes. They will leave swirls in that black, you can never get out. You can actually scratch the finish with a paper towel.
I agree with Tiger and have used Windex for many years and the new Windex that is good for counter tops is great.
I have very often used Boat Cleaner in a spray bottle, preferably by Star Brite although Simoniz makes a good one.
This is especially good if the drums are fairly dirty and haven't been cleaned well lately. It is great on plastic, metal, fiberglass or wood. Of course I use it on the bass boat so I always have it around.
Good Luck