Yeah, these forum sites' search feature rarely works well.
Most teardown sites just say "after you remove the gray bezel..." without further info, or link to (as your reference did) to some plastic tool to assist you.
I was hoping for some detail. In my case, I was being held up by the clip on the bottom of the bezel, just under the power switch.
So, here's what I noticed:
There are two large clips along the bottom of the bezel. One is directly below the power slide switch (Kindle held vertically), and the other is the same distance from the side on the other end. These seem to be the main hurdle.
There are also four large hooks and five smaller hooks along the top of the bezel, so the bezel must slide upwards after the clips are freed.
There are side grips on each end which look like they might interfere with sliding. So, be aware of those... but I didn't have a problem with them.
Of course, anyone using this information does so at their own risk.