For cleaning your screen, you should use a damp (with water) soft cloth to wipe away whatever is on your monitor. This may take several repeats, but should clean your monitor just fine. Be careful to avoid dripping water down the screen; this is a wiping procedure, not a washing...
I just cleaned my LCD monitor with Shield Lens Cleaner (alcohol-free) and a very soft (probably microfiber) cloth. Both were giveaways from my last trip to the optician. I turned off the monitor so I could see well against the black, spritzed the screen three or four times and very ...