A basic soap and water wash is supposed to kill them. The tape is a good thing to do! On clothes and skin, it pulls them off (if they haven't started sipping yet) and immobilizes them.
I ran into a nest of larval ticks (six-leggers) this spring, and was fortunate to be fifteen minutes from my truck. I took off my shorts and sprayed them and me down with 100% DEET. I was desperate! Stuffed the shorts into a disposable plastic tub and put on the only spare pants I had. Thick German army wool pants from last hunting season. I was toasty! Thankfully, I got them on before the cop showed up...
I got chewed up, but not as badly as I would have if I had tried to drive home, spreading ticks throughout the cab of the truck. I left the shorts in that tub for a week, then washed them. I washed me as soon as I got home in the hottest water I could stand, with a castile soap containing tea tree oil. Insidious little rats, I hate them!
I gotta try treating my clothes with Permethrin.
Killdeer