Spread a tarp over the work surface to protect floors, carpets and furniture from drips. Open windows and turn on fans to keep air circulating.
Sand the wood surface with medium-grit sandpaper, working with the wood grain. Wipe down with a damp paper towel, and allow the surface to dry. If you're starting with bare wood, this step is not necessary.
Sand again with fine-grit sandpaper to finish removing the top layer of old stain or polyurethane. Wipe down the surface with a soft cloth dampened with mineral spirits. Allow the surface to dry.
Shake the stain thoroughly to mix it well and open the can. Put on gloves to keep stain off your skin. Dip the cheesecloth in the stain, then wipe it on the surface, working with the grain. Move quickly, to prevent streaks in the finish, until the entire surface is uniformly covered.
Allow the surface to dry for four to six hours. Examine the surface. The lighter the tones of the original wood, the more coats of cherry stain you will need to apply. Repeat Steps 3 through 5 until you are satisfied with the color.