The present invention provides preferred, preferably liquid, hard surface cleaning compositions, compositions with cleaning liquid composition on a substrate, compositions used with absorbent pads and implements and devices for making the process of cleaning hard surfaces and/or maintaining their appearance and hygiene easier and more effective. These compositions, along with specific instructions for use are advantageous for removal of and/or prevention of buildup of soils commonly encountered on floors, glass surfaces, counters, walls, showers and/or tubs, said compositions comprising hydrophilic polymers to render the cleaned surface hydrophilic and to improve the appearance when the surface is either not rinsed, or when the composition is incompletely removed, specific surfactant, preferably surfactant selected to minimize spotting/filming, optionally specific organic cleaning solvents to provide cleaning and wetting particularly in applications where levels of non-volatiles need to be minimized, and, optionally, anti-bacterial agents for preserving or surface activity and optionally perfumes for aesthetics.