There is some evidence that suggests strep throat is contagious to rats and quite deadly so I'd be really careful. Wash your hands, keep your face away from them etc. Minimize handling if possible. Good luck!
Yes, strep pneumonia is transferable but there is some evidence that strep throat might be as well.
"Another common bacteria that can cause respiratory disease in rats is Streptococcus pneumoniae. This is not the same organism that causes strep throat in humans (which is Streptococcus pyogenes) however, there have been some suspicious cases that suggest that rats might be able to get a strep infection from a person with strep throat, so people with strep throat should stay away from rats, and rats in the same house should be watched carefully for strep symptoms. Strep infections in rats are usually fatal within three days without vigorous antibiotic treatment. Rats cannot get human colds or flu."