Woo hoo! Spicebush cats! Congratulations! I've brought mine inside but that's because I enjoy the caterpillars so much. I've lost three hatchlings, though. Don't know why but sometimes them's the breaks. Still have a lot of eggs I'm waiting on to hatch. But if you leave them on the plant, I think they generally do pretty well. I'd just look over the plant for things like spiders and make sure it's not in a bird-friendly area.
I'm still on Mom's computer so no photos for now. But Dell is going to fix my computer for a reasonable rate (it's not under warranty anymore). Only thing is I have to ship it to them, they fix it, and ship it back. They estimate 12-15 days. One of the memory slots is bad so they have to replace the system board.