Hilariously, I have a Kindle from...I think it's late in the year, so late 2012, that's still working perfectly. I can't even think of any glitches. The only thing that's so much as begun to break is the case. (Would mention the model, but I'd have to look it up--don't know it off the top of my head anymore.)
In all fairness, it hasn't seen constant use--most often, I've on and off forgotten it's a thing I could be using when I'm not traveling--but still, that's a good seven-closing-on-eight years. There's even a bunch of stuff on it.
(Though, yikes, dog biting through one? I hope your dog was okay. Apart from that, it's a funny mental image.)
...and because at this point I can't not: while I still kind of hate Macs to a point because of that time when a lot of the school computers were Macs that...let's go with "frequently sucked", so I do get it, I've also had very good experiences with Android phones. (Tablet too, actually, though that's a whole other story.) I think it's probably (with Macs and non-Android devices, too) down to the device and model (and a touch of luck to not get a faulty device--the original Kindle actually didn't work pretty much right away, and had to be exchanged. On the other hand, the replacement has lasted about seven and a half years and shows no signs of breaking anytime soon). With the phones, which see the heaviest use, they eventually glitch a bit with age, but even then a lot of the time it takes another couple years before they develop glitches that are actually cause for "replace this phone ASAP or you'll regret it" territory. I'd call that a pretty good track record.
(On the other hand, part of why I own all of one, I think, Apple device is that the last time I looked at...I think I had similar thoughts with both an iPhone and a full size iPod, actually, I found myself thinking I'd use half the features, at best. It just wasn't worth it for me, and it wasn't what I wanted. So...Android, up til now. And PC for a handful of reasons, though that may change when my current laptop breaks, depending what the available version of Windows looks like at that point. Not super excited to reach that point, or the point of replacing my current phone, apart from the usual "shiny new toy to learn all about!!" excitement.)
And, uh, I guess that's what I'm doing with my post-semi accidental nap energy. Right, then.
I give up. I hope you have better luck the next time you try a Kindle or whatever else, if you do.
~Z
PS: for the actual tech problem...potentially try leaving it unplugged for a few hours to a day, and then hold down the power button and see if it turns on? I've seen that work for laptops a few times. Past that, I'm not sure I have advice that hasn't been mentioned. I'm sorry it broke like that; that sucks.