A razor for supporting a razor blade comprising a blade support arm, a handle element, and a cover element coupleable with the blade support arm. The razor can removably support the razor blade between the blade support arm and the cover element. The blade support arm can have a recess formed therein, and the cover member can be coupled with the blade support arm adjacent to the recess. Additionally, the cover member can be rotatable relative to the blade support arm to allow easy removal and/or replacement of the blade.