Get a ryoba handsaw right now

I’ve used these types of saws to cut lots of PVC pipe and for that they work fine. I tried it on the thin polycarbonate roofing material and it’s not very good, that material is too brittle and shatters. Best thing I’ve found to cut that is a high-tooth-per-inch blade mounted backwards in a circular saw. I don’t have experience with the other kinds of plastics you mention, but feel it would work well on UHMW PE and anything that is fairly soft like that or PVC. You will just need to clear the crumbs from the teeth every so often.