For mine I use a soft paper towel but really something designed for TVs would be better. I have seen paper towels scratch cheap plastic. TV's aren't as easily scratched but the point is it's possible.
I use a simple glass cleaner without ammonia. I don't know if the ammonia would hurt or not but I don't want to chance it. Spray it on the towel, or be very careful not to let it run into the bezel if you spray the screen (like me).
You can be very anal and very cautious but really there is a point where you just have to clean the thing.
Nun sacciu, nun vidi, nun ceru e si ceru durmiv.
I know nothing, I see nothing, I wasn't there,
and if I was there, I was asleep.