For permanent results? Only the One Touch. For permanent, just like Andrea mentions all over her entire website, you need to have a small probe inserted into the hair folical to kill it. All those electric tweezers are scams and a waste of money.
You don't need anything special, it's just that something of high quality and usability will make the job easier. I've used the Tweezerman slanted tip tweezers for the last year after hearing the recomendation on this site, and have been very pleased with them also.