Usually contact cleaner comes with a small extention tube that you can place in the nozzle. If you remove the knobs and spray at the junction of the shaft and the threads enough will flow into the pots to clean the contacts. Spray for about a second, rotate the shaft 5 -10 times, let dry for about a minute , then repeat the process. Let the pots dry for about 10 minutes then plug in and see if it made a difference. If it doesn't then the pots may need to be replaced, providing the wiring has been checked and that is not the problem.
Also, I have found that talking to local builders/repairmen is a great deal more helpful than a book. Most are proud of what they have learned, and if treated with respect will be more than willing to share their knowledge.