Depends. Mine typically shed slowly, so it takes weeks.. And with three rabbits, thats a ton of fur! Funnily enough, my four pound Holland Lop seems to shed more fur than the other two, who are 8 pound mix breeds.
I just make sure to keep a trashbag handy for any petting sessions that may occur. Other than that, the shop vac is probably going to be your, and your bunny's, best friend. Pippi, the Holland Lop,seriously loves the shop vac. As soon as she realizes its Cleaning Time, she runs excitedly around her xpen, and while I'm vacuuming, she likes to chase the hose. Haha..she's a bit of a weirdo ^_^