Your cat outdoors The dangers of being outside Danger of fleas, danger of being hurt by dogs or other cats. Ragdolls are docile and not well suited to outdoor life. You need to gauge how being exposed outside might make your cat run outdoors. Walking harnesses Get a harness that goes around the chest, not the neck. Strollers Gen7pets, this is the "Jogger" model, got this one because of the larger wheels, and ball bearings on the front wheel.