Duster or lint-free cloth
A soft lint-free cotton cloth is the easiest way for cleaning plexiglass and removing dust and slight dirt.
Slight dirt can easily be removed with a damp cloth. Attention: Micro fabric cloth can cause tiny scratches. Also avoid too much pressure.
Glass cleaner specifically for acrylic glass is ok. But normal glass cleaner will work as well!
By using gloves you avoid finger prints on the glass when hanging the print.