I wouldn't bother trying to fix the squeaking myself. Toyota has issued a TSB on the problem and replaces part of the center console as well as adds some felt pads. I've had it done on mine and it works well.
I'm re-posting this from the thread "List of pertinent TSB's":
"For everyone's information, here's TSB2757, which is the Canadian version of the U.S. TSB NV005-07 "Shifter Trim Squeak Noise," that I got from my dealer. I apologize for the five separate files, each with a single GIF image, but the GH site wouldn't accept them all together in a single ZIP or DOC file, and of course, it also won't accept GIF files directly."