
Coway
Airmega AP-1512HH Mighty
Durable, effective for allergens/odors, but loud on high.

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The NYT just did a review and ranked the Coway Airmega 200 as the best air purifier. They're under $200. I bought two and like them a lot so far. They have an ionizer, but you can turn it off. They're quiet and move a good amount of air. There are two types -- one has a large circular front and sucks in air around the edges of the circle, and the other is a regular rectangular front that sucks air in across the entire front. I have the rectangular front model. They also have a good handle for moving it around. I really liked the Honeywell HPA300 (I think that was the model), but they stopped making them. The ones they sell now look similar but are about 1/3 bigger, and don't perform any better. I feel like the bigger model is really weak at lower levels and only works well on turbo, which is really loud, while the older models worked better at lower levels. And it's just way too big for the average room and has no handles for moving it around. I have one of those cylindrical Levoit purifiers, and it works fine but I don't like how it only sucks in air at the bottom 1/3 of the purifier. A lot of the bird dust I get (I have a grey) is floating much higher in the room.
Coway Airmega is best. I’ve tried Honeywell, Levoit and Winnix.
Air cleaners/purifiers (I have one in every single room, 2 in the open living dining kitchen area). Some brands offer pet specific filters (I use Winix plasma waves in larger rooms, and Levoit for smaller rooms, both the cylindrical and the rectangular). Regular vacuuming. Blankets on furniture that can be put in washing machines. If you have hardwood, minimize your area rugs and mop once a week, if possible. If you need area rugs, try washable rugs you can toss in the washing machine. I have three dogs, a breed that is notoriously difficult to house train. I keep an armada of enzyme cleaners and a black light on hand. They are also a breed that loves blankets, so I use specially formulated enzyme cleaner in the washing machine when I wash their blankets. The washing machine runs daily here.
I like my winix 5500. I have the levoit cylinder style too among my collection. Go with the winix. It's easy to clean and quieter in my experience. Filters last much longer too.
A Levoit Core 300 is not sufficient at really cleaning the air if you're going beyond PLA, or printing high frequency or long durations. Look at a HEPA for sure, which the Core 300 claims to be. We have their older "200" HEPA model and it barely keeps regular dust and allergens out of the air. I would make sure it's got activated carbon/charcoal. Check out a Medify or Alen air purifier.
We just got the 400s for the living room and the 200 for our bedroom. Our state energy trust of oregon had a rebate on them so we got about $150 off the total price tag. So far im liking them. The 400s is nice with the auto setting. I leave it on 24/7 it will crank up on its own when im cooking or it senses anything else in the air.
Here is my matchup with your list. Levoit 200 Samsung Smartthings Dishwasher Trane/Nexia Thermostat Reolink Doorbell Roborock Vacuum They all have been great with HA

Coway
Airmega AP-1512HH Mighty
Durable, effective for allergens/odors, but loud on high.

Levoit
Vital 200S-P
Smart, effective dust/odor; some find replacement filters pricey.

Winix
5500-2
Budget king, durable; poor VOC removal, Plasmawave disliked.

Coway
Airmega Mighty
Durable, great for allergies/dust, responsive auto-fan.

Winix
5510 & 5520
Good value, durable, effective for pets; carbon filter issues.

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IKEA - UPPÅTVIND

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CleanAirKits - Corsi-Rosenthal Box

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Austin Air - Healthmate Plus

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Winix - 5500-2

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Coway - Airmega 400

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Coway - Airmega AP-1512HH Mighty