Polish with a Microfiber Cloth
Microfiber cloths are perfect for this because they pick up dust, wipe off smudges and don't shed any fibers. You'll find microfiber cloths wherever cleaning supplies are sold and they'll help you know how to clean your bathroom better. You can also buy them in bulk at wholesale clubs and use them throughout your house for all kinds of other cleaning chores. They're one of the best home cleaning products you can get.