Pet Stuffers is a business that uses taxidermy to preserve dead pets, so customers can "have their pets forever". Their commercial also announces their (implied) imminent expansion into human taxidermy with "Grandparents Forever". In Grand Theft Auto: Vice City, radio station Emotion 98.3 runs their advertisements and makes mention of the service.
Location
Pet Stuffers store can't be found in-game, however there is a billboard with advertisement of it in Little Havana, west from Screw This store, near the road that takes you to Sunshine Autos.