I read the full text version. What I got out of it was that 'they' are going to make a list of all the animals they deem safe. If your pet is not on the list then it's illegal to sell, breed, or trade it. Of course the animals you already own with be grandfathered in. But here's hoping you don't have to move cause the animal can't leave the state.

What I'm worried about is that the lists are not yet made. So if this bill gets passed the lists of legal and illegal animals could change to include even you most basic and harmless pets. It's vague enough to not be scary but had the potential to be very very scary.

edit: I'm not an expert on law, so this is just my opinion.