But I found the filters aren't all that cheap, and by the time you buy 5 of them, a fan, and the tape you need, you've spent a decent chunk. Also the "store bought" options are smaller and I thought they would be quieter. Finally, looking ahead, I realized that if you want to replace the filters on the box-style filter, you basically have to disassemble and rebuild the whole thing, which seemed like a hassle to me.
... right, those are all the benefits of it! :D You get to build it, you get a huge filter area, and get to build it again later!
Though as far as noise, a big, slow turning fan does a solid job and isn't that loud for the airflow - or you can get more airflow for the noise. I'm in my second year on the filters and while they're getting grey, they're clearly still flowing and air coming out is clean per my meters, so I don't see a reason to rebuild it yet. But it's far more filter media than you'd get with a small cleaner, so I'm not sure the cost difference really matters. Replace a lot of filters every few years, or a smaller filter every few months.
My office has a small Honeywell filter for a small room, and it does a decent job, I just have to replace the filters every six months or after smoke season. I wish I had power to run it overnight in conditions like this, though. It's vile in and out for the first hour. :(
I assume you don't have a central heat and air conditioning system, or the obvious solution would be to simply purchase the better-quality filters and change them more often.
You're limited on most systems in how aggressive a filter you can put in and still get good airflow. Separate, high-efficiency units are a good option, though I'm seriously considering building a box filter for my furnace, too. I have the room to do it, and I could put a bunch of MERV 13 filters in to give me better filtering and still enough airflow.