A mop head assembly for use with a handle and a cleaning substrate is disclosed. The mop head assembly includes a lower substrate support surface, at least one fastener channel associated with the lower substrate support surface, and a fastener strip that can be inserted into the fastener channel. Such a fastener strip is configured to couple the lower substrate support surface to a cleaning substrate. The mop head assembly may include a cross-member configured such that forces applied from the handle through a central portion of mop head are distributed toward the end edges of the lower substrate support surface.