Best method is take 2 lens cloths, keep 1 dry and dampen the other, ring it out so it's just about moist (no jokes please 😛 ) then go over the screen with it, and right away take the dry lens cloth and dry it off, should come up with no marks at all, thats how i clean my LCD's anyway, oh and the TV 😉
being into photography helps, ive got loads of these clothes all over the place 😎