I use permethrin around my yard as well as have some clothing I’ve treated myself. I also use flea and tick treatment on my two dogs which is primarily permethrin.

I have two cats and we haven’t had any issues that I could see.

I make 100% sure they can never be exposed to it when it’s wet, but they’ve been around me in treated clothing, escaped the house and walked through treated (dry) grass, been around dogs that have been treated with it, etc.

Given the number of people that have cats and dogs living together who are treating their dogs with it monthly, it seems relatively safe if used properly and cautiously.