I also use Pocket a lot. Alas, I do wish that they had Kindle integration... As of now I use crofflr [1], which mostly works but is unfortunately no longer updated.
I have a Kobo Touch e-reader which has Pocket integration built in and it's great. The reader lags at times because of its age, but until Kindle gets Pocket I won't give up on it.
While there are no first party Kindle integrations, I find p2k.co perfect for my use case, i.e. push pocket articles to my Kindle.
Me too, p2k is perfect. Initial setup a couple of minutes, then it all happens automatically.