Turn off your computer before cleaning - this is just safe practice where any amount of liquid is involved, but more specifically, any static on the screen could create a shock and damage the internal components.
Remove any dust on the screen with the dry microfiber cloth or a soft duster.
Use filtered or distilled water if you need to use it, especially in areas with hard water - minerals like calcium and magnesium in the water you use could also damage your screen.
Wipe in tight, Z-shaped motions, or directly up and down or side to side. Wiping in circles can create uneven pressure and ultimately lead to screen damage. It's also more likely to create streaking.
