I tried the suggested option to use cardboard and pins, but it did not work reliable. So now I have another simple and soldering free option.
1) I use two short thin single core wire-wrap wires to connect RX and TX (about 4-6 inch long).
2) I strip them about 1/10th of an inch, maybe even less
3) I glue these in place with a hot glue pistol, just (barely) touching the contacts
4) I use conductive glue to make the actual connection (
http://www.ebay.com/itm/WIRE-GLUE-El...-/290695765305)
DO NOT USE TOO MUCH GLUE
5) I connect the ground terminal on a easy accessible location on the board
6) I use a 1.5V AAA battery for powering the converter: the less wires you connect to the Kindle, the better
Hope this helps. I forgot to take pictures, next time I will make a photograph.
Peter