Polish with a Microfiber Cloth
Microfiber cloths excel at putting the finishing touches on mirrors, countertops, and even tile and fixtures. After cleaning surfaces with your favorite cleaning solution and drying them off with a terry cloth rag or a separate microfiber cloth, polish them to a mirror finish with a dry 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. You can also buy them in bulk at wholesale clubs and use them throughout your house for all kinds of other cleaning chores.