My Kindles mean a lot to me, even when I don't have my face poked in a book, barely coming up for air. When I'm not using it, it is displayed proudly on a nice stand. It's nothing expensive, so I have several around the house in strategic (easy to grab) areas.
I'm using display easels for plates. They work great, are very inexpensive, and come in designs from simple to very ornate and elegant.
Here is one with my iPad resting in it,
complete with its Oberon cover and a nice stylus hanging handy and another, smaller one that is perfect to proudly display Dame Kindle, my first (now semi-retired) Kindle. I found this on Amazon using the word easel stand as the key word. Nice price and it was eligible for prime shipping.