What air purifier are you using for your pets? Need recommendations!

I have 2 dogs lab mix and a beagle and the shedding is out of control. My allergies are worse too and the smell is bothersome. I have been looking for air purifiers and there are numerous out there and I don't want to waste money on something that doesn't work as promised or there I buy one and that does not fit the cause. Room space is 20 × 16 feet, main area where dogs spend most time. My filteration needs aer pet dander, odors, and dust, and if there are others which I don't know. My budgt is around $200 max. Don't knw about the yearly filter costs. Really appreciate any advice.