Just a tip from someone who made that jump: If those five things you listed contributed to your burnout, trust me, moving into management won't help.
1. Management is the same damn slog day after day. You deal with people acting like children, senior management who lack any coherent vision and don't know what they're doing, colleagues who were Peter Principle'd into their roles, and on and on. It's unrelenting.
2. Being a manager is just doing work to make rich people richer, but with extra steps.
3. Imagine being a manager! You keep hearing you're understaffed, that there's enormous time pressure, that you lack resources, that your staff are frustrated, unmotivated, burned out. If you're a good manager you care and desperately want to help. But you can't do a god damned thing about it because the executives don't give a damn.
4. You're literally in the middle of this. As a middle manager you have the choice to parrot the upper management crap, or tell it like it is. Neither is great. And that's ignoring the politics, and the pointless policies, the endless process...
5. That's invariant.
The real issue is that a lot of companies are simply toxic places to work. The job doesn't change that. Whether you're an individual contributor on the ground or a manager trying to improve the lives of your staff, if the company sucks, it sucks for everyone.
The truth is: not all companies suck that badly. Or, at least, they all suck in different ways. As you yourself have realized, the trick is finding that place that fits for you.