You'll need to go by way of EPUB because Amazon has never developed their export plugin for InDesign CC. I'm moving your question to the InDesign EPUB forum.
You need to learn how to create an EPUB file. There are great lessons on this from Anne-Marie Concepcion on Lynda.com (first 10 days free).
Then she'll show you how to use the Kindle Previewer to create a Kindle file.
Probably will need to be a reflowable EPUB, fixed layout EPUB doesn't convert well.