My rats are neutered boys so not so shred happy. But, well they prefer to marinate shall we say. So they ruin hammocks in a few uses that way. The little guys are mostly good if I toss in the itty bitty scraps to drag around. Apparently loose threads can be a hazard, but as long as I'm using decent, sturdy fabrics, I've not seen a bunch of shedding strings and everyone has been fine. I've gotten some lesser quality fabrics, and I just toss those in my packing/stuffing bin instead of rodent nest bin.
Goos destroy everything that's not heavy gauge metal or glass. Mine are also not very well socialized, rescue boys, but we've reached our agreement and they can live out their lives in comfort and are pretty fun to watch if nothing else. They are in the hall, I can see them from my sewing room or music room. It works for us.
Meesers actually live over computer desk, three little girls. ASF and hedgehog are in the living room, rats are there also. ASF and hog need heat sources, rat boys are happiest there.