[Gazella]

All of them should work with the Kindle app with no issues. I would go with the S4 because the size is just right; it's not too big and not too small. My mother has the Note 3 and I find it huge but she prefers big phones and she loves it. So if you want a very big screen, then go for the Note 3. If not, then the S4. If I understand correctly, you'll be using the Kindle App to read on your phone? If so, the S3 Mini is too small and would be uncomfortable in my opinion.