I have travelled with a laptop before with no problems (not recently), but for an upcoming trip I will, for the first time, be carrying a smartphone and a Kindle (not the Fire but the older e-ink type). I've seen complaints on the net that airport scanners have damaged Kindles, and I can't find anything conclusive about smartphones. I want to carry these items, not put them in checked baggage.
What should I do to ensure that all of my gadgets still work when I get through the checkpoint? If any of them should not go through the X-ray machine, how do I accomplish that? (Just ask them to hand-inspect?)