Embodiments of the present invention provide a handheld shaving apparatus with a razor head coupled to a body of the apparatus and employing an independent suspension system, which allows the user to maintain control of the razor head while also allowing the head to move in a generally linear fashion to accommodate surface features and imperfections. Further embodiments provide a handheld shaving apparatus with a razor head and body that collectively include one or more biasing mechanisms that permit the razor head to move in an axial and/or generally linear direction while resisting substantial lateral movement of the razor head, reducing the potential for lateral slicing by the razors.