I got the Coway purifier that's currently the Wirecutter pick. It was about $150, has a HEPA filter and an ionizer. The replacement filters are pretty cheap. I leave it on 'auto' in my bedroom 24/7.
Am I getting great benefit from it right now, when the AQI outside is 10? Probably not. Opening your windows for 5 minutes every morning is totally sufficient to keep your indoor air in the green. But it will be great to have around when the inevitable fires start later this summer. If you're in a similar region, pick one up while they're cheap and in stock!
I get itchy eyes with allergies, and I don’t think the purifier helped at all. Just my anecdote. An allergy pill helped me more haha.
If you leave your windows open for longer periods of time, then an air purifier might be ineffective.