perose - Don't go to any expense!! A couple of soft yellow dusters, one for wiping, one for polishing & some washing up liquid. Give the cloths a couple of hand washes first, the yellow dye can leak off them, then dip one cloth in water with washing up liquid added, wring out ( don't make it too soapy ) Wipe the screen down & then polish off with the other one, smear free!
Chamois leather, works every time no smears. Make sure it is clean first. Wet in warm water and then ring it out.
Great on the brushed steel cooking hobs too....just thought I would add that!