you turn it inside out around him. It can be dangerous to simply lift a strange cat from the side of the road and you may be better off to call animal control if you don't know what you're doing. But being in a bag will calm a cat who is under stress from an injury and from being handled by a stranger. (Also remember that if you bring in an injured, strange animal, the vet will consider you the financially responsible party.) 6. Do try to build up an emergency fund for pet care if you haven't purchased pet insurance. Most vet offices like it when clients send in a few dollars every month to "put on account." Having some money on and makes it a no-brainer for pet owners who might feel they can't afford to take an animal in for an emergency.