Cleaning compositions which enhance hard surfaces to exhibit excellent water-spreading and oil-repellency and therefore provide a "next time easier cleaning" consumer benefit contain selected copolymers capable of forming invisible, extremely thin hydrophilic films on treated surfaces. The cleaning compositions feature a water-soluble or water-dispersible copolymer having a first monomer capable of forming a cationic charge on protonation and a second monomer that is acidic and that is capable of forming an anionic charge in the compositions, and may contain an optional third monomer having an uncharged hydrophilic group and/or an optional fourth monomer that is hydrophobic. The cleaning compositions may further contain functional ingredients including surfactants, organic solvents and/or other optional adjuvants to enhance the cleaning performance and aid in preparation of the surface for effective delivery of the copolymer during a cleaning operation.