The present invention relates to preparing dairy animal teats for being milked, and more particularly to teat preparation, rinsing, and milking that all take place in a milking machine teat cup liner. Such a method includes: applying a teat sanitizer to the teat; injecting air into the liner to force the teat sanitizer toward a waste milk line connected to the liner; pulsating the liner at a first pulsation rate; drawing a rinsing milk from the teat; directing the teat sanitizer, the air, and the rinsing fluid to the waste milk line; pulsating the liner at a second pulsation rate to draw additional milk from the teat; and directing the additional milk to a good milk line.