You want to be careful with LCD screens because they have a plastic coating that could be ruined by things like Windex and other solvents. If you aren't cleaning anything oily like fingerprints, a microfiber towel moistened with plain water is okay. If you do need to get fingerprints off, the only safe thing I know about is something that Monster sells that is probably overpriced.
I would speculate that dilute soapy water to clean and plain water to rinse (applied with towels) would probably be safe but maybe someone else knows better.
Jim