Formulation delivery systems include a reusable handle, a formulation dispensing assembly, and a controller. The formulation dispensing assembly includes a reciprocating nozzle assembly and a pump. The reciprocating nozzle assembly is fluidically-coupleable to the formulation cartridge or the cleaning cartridge received within the reusable handle. Formulation delivery devices include a reusable handle configured to receive a formulation cartridge therein, and a formulation dispensing assembly disposed in the reusable handle. The formulation dispensing assembly includes fluid conduits, a pump fluidically connected to the fluid conduits, a reciprocating nozzle assembly, and a controller. Formulation cartridges include a reusable cartridge body and a formulation cartridge refill unit.

A brush for applying a cleansing compound with an inner body having a tube portion with outer proximal threads. The tube portion has an opening for filling the tube portion with the cleansing compound and an enclosed bottom having a central guide tooth receptacle and a plurality of discharge holes. The brush has a brush portion including a plate having at least one upstanding standoff, a central guide tooth, and a plurality of depending bristles. The plate has a plurality of dispensing holes and an upstanding collar configured to secure the plate against the enclosed bottom of the inner body. The central guide tooth fits into the central guide tooth receptacle to guide rotation of the brush portion with respect to the inner body. In an open position, the plurality of discharge and dispensing holes are aligned so that the cleansing compound passes into the plurality of depending bristles.