Yeh be careful when cleaning anti-glare screens, some people have marred theirs.
I use smaller microfiber from one of the ones I use on our vehicles (from autogeek, none of that store bought junk that leaves the fiber threads)., along with some detail cleaning spray. I use Duragloss FC&S as it's a great cleaner and reduces static, I notice way less dust and cat hair sticking to the screen vs using the normal computer cleaners or water. I also have this excellent targus cloth I go years ago that I use on everything from the computers to tv screens, it's held up great.. never found it again.