I use a pull through from the breech end with MP5 on a cleaning patch, followed by another cleaning patch with MP5 and several dry patches until they come out dry and clean. Clean the bore on a new airgun and after every 2000-3000 rounds.
Also is it necessarily good to use any of the big bore cleaning products on air pistol bore, such as Remington’s Brite Bore, and Hoppe’s, these are not solvents for dissolving copper fouling. And will these product damage the air pistol bore?