Yeah what the hell, I want tiny and small nuke-batteries so we can finally get cars and phones that doesn't need charging anymore, would solve a lot of problems and surely won't introduce any new ones.
What you really need is 24/7 power supply, it might become a luxury to have uninterrupted electricity exactly as it is a luxury to have enough of fresh water.
When you're in one place, you'll just have a battery+solar I bet, but for when on the go, maybe for days, having a tiny nuclear battery that lasts N years would be great.