I don't have any free time because I have young kids.

That's a healthy thing to acknowledge.

It's a brutal phase for professional development, hobbies, free time, sex, basic housekeeping...

It gets better as the little ones grow.

I don’t know about your workplace, but if at all possible I would try to find time between tasks to spend on learning. If your company doesn’t have a policy where it is clear that employees have the freedom to learn during company time, try to underestimate your own velocity even more and use the time it leaves for learning.

About 10 years ago I worked for a company where I was performing quite well. Since that meant I finished my tasks early, I could have taken on even more tasks. But I didn’t really tell our scrum master when I finished early. Instead I spent the time learning, and also refactoring code to help me become more productive. This added up, and my efficiency only increased more, until at some point I only needed one or two days to complete a week’s sprint. I didn’t waste my time, but I used it to pick up more architectural stuff on the side, while always learning on the job.

I’ll admit that when I started this route, I already had a bunch of experience under my belt, and this may not be feasible if you have managers breathing down your neck all the time. But the point is, if you play it smart you can use company time to improve yourself and they may even appreciate you for it.

There’s a lot to talk about from this point alone, but I’ll be brief: having gone through university courses on processor design and cutting my teeth on fighting people for a single bit in memory, I’m probably a lot more comfortable with that minutia than most; having written my first few lines of C in 10 years to demo a basic memory safety bug just an hour ago, you’re way way ahead of me.

There are different ways to learn and gain experience and each path will train us in different skills. Then we build teams around that diversity.