I’ve tried grounding mats, brushes with grounding straps, etc. Long ago, I concluded that the best way to run my system is bare feet. I also clean my records in bare feet to minimize the risk of charging them. Resleeving can charge them through friction, which is why I don’t try to shove the sleeved record into a jacket but package it outside the jacket with a 5 mil outer sleeve HDPE that presents like Mylar. (I protect the record on the other side with original inner liner and a generic white cardboard jacket with a label cut out).
My listening room has an ancient Persian rug- fine quality, oversized for the room (we had a much bigger house before this one) but almost threadbare. The floors are old longleaf pine and the work space where the cleaning station is located has thick rubber floor mats of the type you’d see in a restaurant kitchen. I use them largely for comfort standing on my feet, not for static prevention, though they might help in that regard.
Socks will create a charge as much, if not more than shoes on a carpeted floor.
Not a bad idea to run an oversized HEPA filter system in your listening room when you aren’t playing the system. It doesn’t "pick up" dust that has settled, but I found that it did reduce the amount of dust motes that always seem to be in the air.
I had to do a "clean room" when we gut renovated the bath utility area next to my listening room- it totally freaked me out that the records and gear would be exposed to debris, particulate matter, plaster dust and grout. It was not a planned renovation but the result of a shower leak. I used those springy metal poles with 10 mil plastic, taped the seams top and bottom and did an exhaust vent in the plastic "wall"- then installed a big HEPA filter system on the "clean" side.
I was amazed that nothing penetrated. We did wrap all the record shelves, but I didn’t want to put plastic drop cloths on the gear, which remained pristine.
More info than you needed to know, but perhaps it will come in handy. Dust does get attracted to stuff through a charge, as well as from finger oil.