"Cranks say Peugeot, dust caps say Stronglight. I tried threading the puller in last night, but got little slivers of threads coming off when I attempted it. Wanted to make sure I didn't destroy it before continuing. Thanks"

Take a very good look at the threads on the crank before proceeding. They may be stripped or damaged already, which may result in the slivers. I had a similar one lately; I placed some oil on the threads and very carefully threaded in the puller, which re-tapped the crank. Your standard crank puller will not even thread into the older stronglight and TA cranks; it will just drop in as it is too small. The Stronglight and TA size pullers are the only other two french sizes I am aware of, both are bigger in diameter than the standard.