Abstract: A system for fixing a tooling bit to a tool having an axis of rotation for working the bit. The system includes: a bit box having a plurality of movable bit supports, each carrying a bit, each bit having a first working end and a second end; a bit holder having a first end securable to one end of the tool and a second end securable to the second end of each of the bits; and a reversible element for securing the bit to the bit holder. The bit has a locked state wherein the bit is engaged on the bit holder and is distanced from the bit support, and a released state wherein the bit is distanced from the bit holder and rests on the bit support.