Firearm cleaning kits and handles therefore optimized for pulling cleaning elements through firearm barrels away from the breach or action. Dislodged residue is displaced and removed out the muzzle. Each cleaning kit comprises one or more handles designed for axial displacements, twisting or torsional displacements, and lateral movements for pulling. Each handle comprises an elongated solid or hollow body with a bore and a slotted handle intersecting the bore. A pull cord anchor is passed through the bore, and after sliding the cable, the anchor is restrained by the follower slot either interiorly or exteriorly of the handle. A tapered front end of the handle may include a threaded socket for connection to a cleaning rod or a driving surface. The opposite handle end may include a hex drive for a variety of cleaning tools.