Vacuum suggestions

I am overwhelmed by how messy my rabbit is. I don’t have a vacuum, right now I just sweep. I am looking for vacuum suggestions that are good for picking up hay?

I have two vacuums. A Kirby and a smaller shop vac. The Kirby isn't so good with the longer pieces of hay so I just use my shop vac, plus I have 5 buns that each have their own space in one room and the shop vac is easy to pick up to take inside of their x-pens. Now the hose will clog due to hay but I keep a pair of needle nose pliers in the bun room to pull the clogs out since they always happen at the end of the hose where it attaches to the canister. Mine is the 5 gallon size. The one smaller than that isn't so good. Ican't remember the exact cost but I'm sure it was under $40

Went to Sears and got a shopvac--picks up everything