Oh no, April!!! Philadelphia has a TERRIBLE epidemic of bedbugs, it's among the worst places in the city for them! I absolutely refuse to buy mattresses from strangers because of it (and it just cost me $1300 for a new bed as a result). Yuck!
Bookworm -- I know one of our other members mentioned that she found fleas on her cockatoo, Moby. But it may have been because he is sick or because she had just bathed him and his core temp dropped. It definitely seems like a bird's core temperature is too high to tolerate fleas, plus a flea would likely kill a small bird very quickly because they have so little blood. I don't think, GENERALLY, fleas will choose a bird as a host. But I could be wrong. Either way, you will know if there are fleas in your house, BELIEVE ME. They bite you. A lot. I quit a job working at a day care once because one of the poor little kid's mom's house was infested and he was bringing them to the daycamp, where they got in the rug and bit the heck out of all of us. You could actually see them jumping onto you. But with a bunny I would be cautious. Maybe your exotics vet could advise on something like Advantix, as was mentioned, for small animals? I definitely wouldn't go with a dog or cat dose as that could really hurt your furbaby. Borax is no good either, especially if you let the rabbit out on your floor. I wouldn't dust or spray for bugs around your birds or rabbit either. In other words, don't take any serious action unless you are SURE you have an infestation, since the action you might take could do harm to your animals, even kill them. If you do ever have an infestation you'd probably have to move the fids and furbs to another house for a while to have the apartment sprayed/dusted/fumigated.
As the very wise Douglas Adams once said, "DON'T PANIC!"