A cleaning device provides for quick, thorough and pleasant multi-parallel cleaning of teeth and gums through use of a pressurized cleaning liquid, applied to teeth and gums by a cleaning headpiece with a plurality of cleaning nozzles and with optimized and practical geometry as well as readily applicable control of the clean by the user. Sensations of suffocating or drowning, which can be serious detriments and hindrances of prior art devices, are effectively overcome. In a preferred embodiment, teeth are cleaned in two steps, where each step cleans the teeth and gums in just over one side of the user's jaws. The device can simply be extracted, flipped by 180 degrees and reinserted into the mouth between the two steps.