It's the same equipment as a tent but when used that way it's typically called a scrubber. It's recommended to get a filter+fan that will exchange 1/2-1/3 of the room's air every minute. In other words exchange all of the room's air every 2 or 3 minutes. Depends on where you look. Canfilter has a nifty calculator you can check out.
You can just stick the fan on the filter and tuck it in the corner or, you could connect them (maybe add a silencer) and put the scrubber behind your couch or something. I personally have a Phresh 8x39 with a Cloudline T8 sitting on top of it in the corner of my living room similar to what TintEastwood has going on but your living room honestly looks a lot nicer than mine and it might stick out. Also, if you do it know that you'll have dust accumulate where the fan blows. That whole corner and the nearby decorations gets dusty as fuck.
https://canfilters.com/help/filter-calculator/
How are you planning to do dark cycles?