The nice people at Creative Options sent me another product to try. They call it a "project box," I call it "completely secure from the kitties."
The box is designed to hold 12" by 12" scrapbooking paper, but that also means that it holds a set of 14" knitting needles and a medium-to-large knitting project perfectly. It's the size of a medium pizza box and just over 3" tall, so it is very convenient.
I highly recommend it for keeping projects at home safe and sound from dust and Acts of Cat. It could even be used for under-the-bed project
purgatory, um, storage.