Embodiments set forth a cleaning brush handle that includes a head region that includes one or more brush apertures, where each brush aperture is configured to receive one replaceable brush. The brush apertures may be orthogonal to the brush handle, or, in the alternative, may be at an angle in the longitudinal direction, the transversal direction, or both. The brush includes a nominally ¼″ round or hex-shaped shank that is inserted into the brush aperture. The brushes are held in place via a suitable mounting mechanism, such as a threaded insert that receives a thumbscrew or a bushing with a threaded hole that receives a thumbscrew. The mounting mechanism provides for easy insertion, rotation, removal, and replacement of the brushes. The mounting mechanism provides for rotating the brushes, in small increments, through a 360° range, for more even brush wear and longer brush life, relative to conventional cleaning brushes.