A method for milking animals, particularly domesticated dairy animals, and most particularly dairy cattle, that improves milk/food sanitation, labor and cost efficiency, environmental friendliness, and throughput, that uses a wet prep and minimizes both interactions with the animal being milked and delays between steps during which recontamination of teats can happen. The best method comprises the steps of preparing the milker's hands, priming the animal's teats, attaching a feeder tube to a milking machine to each teat, and completing the milking. (Therefore through the method we sanitize the milker's hands, cows teats and feeder tube all in one step.) By preparing the milker rather than the udder and teats, the method eliminates steps and delays, and reduces chances for infection, material usages, and complexity, that were extant in the prior art.