I zap it with my Zerostat then clean it on my Nitty Gritty RCM--first using the MoFi Super Deep Cleaner and then their regular record wash. I apply the cleaners by placing the LP on a rubber record mat in its shipping box, so there is a solid surface against which I can apply the pressure of the record-cleaning brushes. Then I place the LP back on the rubber mat and apply LAST preservative. It is often necessary to clean the LP again (with a dry carbon-fiber brush) after placing it on the turntable, as dust will have landed on it. After listening to the record I add it to my collection on Discogs if I'm going to keep it. I usually place the LP in a new inner sleeve, especially if it came in a paper or cheap poly sleeve.
This procedure, along with using the Zerostat and the dry brush before each play, has worked to keep my LPs in near-mint condition over decades of play.