Just spray a tiny bit of contact cleaner inside of the pot and work it back and forth about 30 or 40 times to make sure it is all clean. I've cleaned tons of pots in my day and unless they have damaged carbon you should be fine with just cleaning them.
If the pots are directly soldered to a circuit board, check those solder joints too. A loose solder joint on the board can sound like a dirty pot.
Older larger pots are the easiest to clean. The old 60s Fender amps have big openings where you can see the wiper move against the carbon and you can be sure the contact cleaner is getting there. Newer pots usually are fully closed but have a little indentation in the metal that they use as a "stop" to make sure the pot doesn't go too far in either direction. The sides of that "stop" usually are open to the inside and are just large enough to get some spray inside.
Others are totally buttoned up and you have to pry the metal clamp fingers that hold it together so you can crack the pot open and spray cleaner in there.
Should be a super easy job to do.
And if you find a cracked solder joint, usually just re-heating the solder quickly will suffice.
