I never had good luck with record brushes, going back to the Decca. I’ve tried all kinds. They are good at pushing the dust into a line, but after that, advice typically is, push the collected surface lint/detritus to the label or to the edge, which is not, in my estimation, a good way to get rid of surface "lint." (Nor has "scooping" worked with the Hunt Brush, which I’ve had in various incarnations over the years).
I do a serious deep clean of a record (Monks: KL) and after that, use a third party inner to store (keeping the original if it has artifact value). A lot of the "audiophile" inners shed. After using a lot of different inner sleeves, I have settled on two--- the round bottom Japanese ones- sheer and not much substance, or the MA Records liner which is pricey and like a woven fabric (made from plants, I believe). The Japanese ones seem to leave the least amount of shedded material.
The issue for me is maintaining cleanliness. Whether that is exposure of the LP surface in unsleeving, playing (vortex action per Percy Wilson) or my skin shedding, I always find some surface lint on a record even after it has been deeply cleaned and properly sleeved. (I sleeve outside the jacket, using a outer jacket cover for this purpose). The room is dedicated, pet free, and rarely has any traffic apart from me.
I keep a hand held air puffer and a piece of silk handy for this surface clean up.
There is one brush I tried that I liked- it had some anti-static properties-- the Analog Relax-- but on balance, the problem isn’t really a strong static charge, just surface crap (which might be attracted because of some slight charge).
@Antinn got me to buy an anti-static cloth which I am going to try in lieu of the silk cloth.
You may have a different experience.
I look at the records under a pretty strong light at the turntable, am constantly dusting and vacuuming to keep the area clean, but it is the nature of the thing-- I’m not in a clean room wearing a special suit and goggles.