Thanks for all the advice guys.
As for the cloth, I have a disc cleaning machine that has a small chamois type of pad in it; I had just ran out of the liquid cleaning solution.
Also, I have been using Windex glass cleaner. Is that a no-no?
The eyeglass cleaner suggestion reminded me of something I forgot I had. I have some Novus brand plastic cleaner in a spray bottle that I had bought for cleaning my dirtbike plastics. It's a light cleanser with no abrasives in it. Wonder how that might do?