Do you stop the turntable or let it spin while you run e record brush

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.

wash batches of lps OFF the turntable while listening to clean ones.

then, after clean, all I deal with is paper dust from inner sleeves, or airborne dust on the surface, not in the grooves. I have a large lint free cloth like a giant camera lens cleaner. I lay it lightly on the LP, turn the platter by hand, a simple lift of the dust, play. 

No more habitual anti-static dust brush, i.e. discwasher. no squirting fluid and being to impatient to wait for thorough dry.

have a peek at my system photos, around the 10th one shows my manual batch cleaner. 10 lp. the drying rack is the thing.

I scrub aggressively with a baby scalp brush (amazon, 3 pack), use the lid of a Chinese soup container to protect the paper label, and the bath is rinse only, distilled water. my mix, kit cleaner, add more alcohol, add a few drops of dishwasher anti-spotting i.e. jet-dry as a surfactant.

I guess I need to take a deep breath, slow down the process of listening to vinyls and be more religious about washing my records.
In the past records where just a tool and not some jewel.
In the old days (don’t know currently) if you are a “pro” dj, you join a few record pools and you get an allocation of the new release records (mostly singles/12” 45rpm) and don’t treat them well.
Only the ones you purchase (jazz, classic and some vocals) treat them well, and those albums are the ones in cleaner condition.
Thanks to all in showing me the multiple steps I should take to extra better fidelity from my vinyl.

sk

Vinyl is the Source on a System that has the Turntable as the Front End.
The Monies spent on the TT and Ancillaries will be nest served if the Medium delivering the information is at its most readable when being read.
Alien Information can be removed with the care methods that is being discussed .

I clean ultrasonically, so that only a small amount of surface dust remains. I get rid of this by

1. platter and record powered up to speed
2. flop a corner of 'Tiger cloth' conductive microfibre on the moving record for 2 rotations

Good luck!