With these pots (slider 10K) I would first use an opamp as buffer, feed a 1K series resistor, then a parallel 10uF cap and then a buffer opamp again before driving PIC input.

Just to be sure...

Most PIC I used before had 10K input impedance of Sample and Hold ciruit. This 3K that Henrik mentioned is too low for a 10K pot!

Ioannis