I use Fellowes' Screen Cleaning Wipes. You wipe the monitor with the wet wipe first then you finish it off with the dry wipe. But I just buy that kind since I bought it randomly at Staples, and it worked, so I buy that every time now. I'm sure they sell all kinds of stuff, like Dolfan said, in Wal-Mart, Target, Staples, Best Buy, etc.
I don't know why your screen would have any finger prints though... stop touching it! lol