Best pet vacuum under $350.

I’m in the market for a great vacuum that works on carpet and hard floor. My main issue is I have 3 cats and the litter is driving me insane bc all the tracking and dust. I feel like I’m a slave to sweeping bc my broom is missing everything.

I have a $175 gift card to kohls and I’m willing to spend a little more (preferably under $350) to get something good. What’s the best I can get for my situation?