Cheap decent air filter recommendation

Hi all,

I'm (a bit) freshly graduated from college and have been having two cats for a while. My cats are medium hair and they shred a lot. I do brush them, clean the furniture and sweep the floor often, but there's still a lot of hair in the air.

I would like to get an air filter to reduce the amount of hair in the air. I can't invest in an expensive one right now. What are some cheap, ideally under $100 or max $200, air filter that can filter medium cat hair? Would be perfect if it could filter the allergens in the hair as well.

Thanks all!

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