A method of making a handheld, electromechanical device useful in mammalian body-care includes the steps of: a) forming a one-piece housing having a single opening defined by a rim; b) assembling a unitary insert; c) inserting the unitary insert through the single opening of the housing; d) removably applying a cover having an exterior surface to close the opening of the one-piece housing; and e) attaching the unitary insert to at least one of the one-piece housing and the removable cover. The rim of the one-piece housing circumscribes a rim area, and the one-piece housing has a projected area that is substantially larger than the rim area. The unitary insert is dimensioned to be insertable through the opening defined by the rim, and it has a frame having disposed thereon electromechanical elements interconnected in an electrical circuit. The cover closes off the opening of the one-piece housing.