Outdoor Strays And My Indoor Kitties Possible Health Problem

I have two indoor kitties that I take for a walk on a leash in 

the yard.  A stray friendly female waits for me to take them

for a walk.  The typical greeting of a friendly kiss and smelling

her butt.  Is this safe and healthy for my two special indoor 

kitties.  These strays haven't been neutered or spayed, probably

have fleas and who knows what.  Common sense will tell you

to keep your healthy kitties away from these strays.  Sure would

like to hear from others online who have similar issues.

Are they strays or indoor/outdoor cats? Are your cats up to date on their shots? Do you use a flea preventative?

These are strays, not indoor outdoor.  They just roam

around the neighborhood looking for food.  I do feed

them.  My two indoor kitties were strays from the 

neighborhood that I rescued, were infested with 

fleas, roundworms.  Were taking to a vet for checkup,

neutered, chipped, vaccinated.  They are back to

health and want to keep them that way and protect

them from any possible diseased strays.