Dust the antique furniture piece with a feather duster or other dusting tool. Be sure to remove any cobwebs or dust underneath the furniture as well.
Pour 1/4 cup mineral spirits onto a soft, lint-free cleaning cloth.
Rub the cloth over the antique furniture. Pay close attention to any crevices or ornate wood carvings. It is not necessary to rinse the solution.
Switch to a clean area of the cloth once it becomes soiled and add more mineral spirits.
Repeat the method if any grime remains.
Polish the antique furniture with your favorite furniture polish to help restore the shine and luster.