This is by no means a universal set of instructions, but the New York Public Library (NYPL) blog has posted step-by-step instructions for how to check e-books out of the library with a Kindle. It’s a great visual walk-through, which is good because there are a lot of steps. I prefer the step-by-step screenshots, though – it’s the next best thing to having someone walk you through it one-on-one. (There’s a link to a video from OverDrive, as well.)
We aren’t “there” yet, but it’s exciting to see the progress being made with libraries and e-books.