Grocifer - I may be speaking out of turn. I don't have a Kindle but I do have a Nook tablet and I can view craftsy pages and the quilt board on the nook. You shouldn't need a new password....I can sign in with my normal passwords. That being said, I did have some difficulties at first since tablets modify their pages (not sure if it's for speed or limited capacity). Once I got them set up and had them save my info, things got much easier.
Also I love watching the craftsy classes on my Nook using my earplugs. Quality classes that teach advanced techniques. It seems like the lqs just always teach beginner's classes (which are fine) but I'm passed that point and would still like to learn more advanced things.
Good luck with your kindle.