I have not personally used Amazon to self-publish. However, I did just edit a book for a pair of authors that used Amazon to self-publish. And the book was published at the end of March.
I assume it was easy enough since they were not the type I would see putting a book together and going through a more traditional process. They are two rappers that run a night club if that helps any. I know they made the book available on Kindle, but I don't think there is a hard copy available at all, expect for what I edited. What I do know is they were pleased enough that they are looking to do another book and have me edit that one as well.