Place your furniture on a plastic sheet or drop cloth. This will prevent any stains from appearing on the floor when the wax begins to melt.
Wipe down the furniture with a dry cloth, removing dust and debris.
Mix 1/4 cup of mild dish soap and 1 gallon of warm water in a pail. Dab a cheesecloth in the mixture, wetting the cloth but wringing away the excess.
Work from the top of the piece of furniture, rubbing the mixture in using small circles. Apply more of the soapy formula on your cloth and continue to work over the surface of the wood.
Dip a soft toothbrush into the soapy water and use it to remove old wax from any crevices. Dry the furniture with a soft dry cloth.