Aplonis:

sergejm:The new kindle has Android inside, as I know. Can you upgrade it by CoolReader to use new formats?

Instructions are here for loading EPub onto a Kindel.

Although there is no Android in the Kindle, you can install CoolReader to it:
CoolReader for Kindle, Kobo etc.
The instructions for install are in Russian:
http://wiki.vlasovsoft.net/doku.php?id=ru: pbchess-1.2.6#amazon_kindle
without space between "ru:" and "pb"