Happy to have stumbled upon this thread. Similar situation here. I live in a two story house that's about 1400 sq ft. Lots of pets too! I've been researching indoor air quality for a few months now, especially because we have an asthmatic child in the home whose symptoms are worsening. I've read that an air purifier can work wonders for asthma symptoms in removing dust and other asthma triggers.
A friend of mine bought a Dyson air purifier a few years ago that needed filter changes every few months ($$$), so kind of turned me off from buying one of theirs. Once I started doing my own research, I've found that you have to approach an air purifier purchase with a critical eye. I thought I'd share my takeaways here just in case it may be helpful for anyone else looking for an air purifier.
Basically, when it comes to air purifier efficiency, I came across the importance of CADR value and choosing a device that allows the air to be replaced several times per hour (from what I understand, this value, also called ACH, should be 3 to 5 times per hour). Some brands will include this information in their technical specs, others won't, so sometimes you have to ask. Basically, you don't want an air purifier to take 30 minutes to remove a sneeze from the room.
Another one of my takeaways is that it is relaly important to verify that the device is certified by a third party (particularly by HEPA). Lots of air purifiers will include the HEPA acronym without even being certified (I found several brands that created their own technology, like I found with Blueair's HEPASilent, but they aren't even certified so we can't know for sure how much they filter). Again, contact the manufacturer and ask for their certificates before purchasing. Whether in terms of effectiveness or safety (some air purifiers generate ozone generation, for example). There is lots of garbage for sale out there and few regulations.
I've found the website
https://eoleaf.com/pages/learning-centre to be really helpful. It's the website of an air purifier brand that of course has their own sales pitch in each article but they are very comprehensive and with scientific studies referenced in each article, which I liked. I don't know the brand personally, but their articles and products seem worth looking into. I haven't bought a device yet but am looking into their largest model. For now, I wanted to share my experience on this thread (even though it's already a few years old). I hope it helps.