Compositions are provided including NK cells that express chimeric antigen receptors (CARs) specific to CD19 and Her2 and a plurality of cell surface-bound multilamellar liposomal vesicles loaded with one or more anti-cancer therapeutics at an effective amount for inhibiting or killing tumor cells without causing toxicity to the NK cells. Methods of using these compositions to treat a subject with tumor are also provided, including administering an effective amount of the CAR-engineered NK cells, where an effective amount of anti-tumor therapeutics are delivered in particles (e.g., crosslinked multilamellar liposomal vesicles) that are bound to the surface of these CAR-engineered NK cells, without causing toxicity to the carrier NK cells.