An embodiment of the invention is directed to a system for cleaning teats of multiple milk-producing animals, wherein the animals are housed in a parlor area and the teats are cleaned or disinfected before a milking operation is started. The system comprises an aqueous chlorine dioxide disinfectant solution source provided at the parlor area; and, a hand-held applicator having a housing volume within which one or more scrubbing elements are positioned for engaging a teat of the milk-producing animal having been inserted in the volume for cleaning. The hand-held applicator is remotely operable relative to the disinfectant solution source.