A system for removing single handle cartridges from housings of faucets and showers comprised of a core puller and a sleeve puller. The core and the sleeve of the cartridge are pulled in two separate steps. The core is pulled by attaching the core puller to the stem of the core with the open end of the core puller placed against the faucet/shower housing. The T-handle of the core puller is turned pulling the core out of the sleeve of the cartridge. The sleeve of the cartridge is then loosened using the sleeve puller which is expansively attached to the sleeve and twisted left and right sharply until the sleeve rotates inside the housing. The sleeve is then pulled by attaching the core puller to the outer end of the sleeve puller and turning the T-handle of the core puller to pull the sleeve puller and sleeve from the housing.