First off, thanks,
Entlover!
There are directions for downloading to a Kindle at Smashwords:
https://www.smashwords.com/about/supportfaq#kindle
I don't own a Kindle myself, so I don't have any first-hand experience, but I'm sure you won't have any difficulty. In the unlikely event that you do, the Smashwords support staff have always been very prompt and knowledgeable when I've had questions.
I hope you enjoy the story! (And don't have any problems!)