Vinyl Users - Best/Favorite room air cleaner

3M Filtrete 2200 furnace filter. Change every 3 months. Use a central vac with the exhaust piped to the outdoors. Most dust is from human skin, so manage that in any way reasonable. Maintain relative humidity level between 30% and 40%. 

Get rid of carpets, fleece clothing, and wet Swiffer all the time.
We use Fellowes room air cleaners with carbon filters.

In my basement i use a cheap box fan with a 3M Filtrete 2200 furnace filter duck taped to the back of the fan. The fan runs 24/7 except when listening to music. It makes a big difference.

Rabbit air.  

Sleepwalker, that is pretty dry. Hows about 40-50%. Of course in the Winter up here in New England if you try this you will flood out all your windows so 30-35% is the best you can do.
Most furnaces have crappy 1" fiberglass filters that do almost next to nothing. 4" high efficiency MERV 10-11 filters are the way to go if you have a forced hot air system. I have two air handlers one in the attic and one in the basement. Both have MERV 11 filters and I still get a layer of dust in about two weeks. here are HEPA room or shop filtration units that hang from the ceiling but they are noisy and rather ugly. Certainly won't fly with the wife. So, in the end a dust cover and sweep arm remain essential features of a well dressed turntable.