A product and process for laundering delicate or dry-clean only garments in a washing machine, such as a conventional home washing machine. The process may utilize a garment container, such as a flexible wrap to protect the garments. The process also includes at least one cleaning composition specially formulated for delicate garments. The cleaning composition(s) can be in a number of suitable forms, and can be introduced into the process in a number of different manners. The products used in the process may be provided in the form of a kit. The kit may also include a pretreatment applicator.