I have always eyed similar solutions, but getting root access to the Kindle has been getting more convoluted each time: I always chose to not try to avoid being a few days without reading if I bricked it. This is one of the reasons why I wrote this: should work as long as the Kindle has a decent-ish browser.

I did this, and to my surprise rooting it worked first time. Usually this sort of thing takes up a whole weekend of problem-solving.

Still, I used a second-hand Kindle, not my main one, just in case. You should be able to find one dirt cheap.