I see bloggers sharing some text they have highlighted in their Kindle reading, but could not see how to do this. Thanks to teh InterWebz I have it working now. The following assumes you already have some passages highlighted in some of your Kindle books.
1. In the Kindle App on your iPad (probably also iPhone), in the Library, lower right corner, choose Settings, then Other, and switch on Annotations and Popular Highlights.
2. Then on a computer, go here: http://kindle.amazon.com/your_highlights . It will have you log in to Amazon. The resulting page shows you popular highlights from other people, but above that you will see a link, “Your Highlights.” Click that and you get a page with passages you have highlighted, and you can just cut and paste into Word, etc.
The link in Step 2 above was the piece I couldn’t find within the Amazon web pages. I found that within this slideshow: http://www.slideshare.net/RickyLocke/kindle-app-tips-for-ipad .