My own story is pretty simple.
I lived in California, and found Ardenwood Forge nearby. The blacksmith there (who you've likely seen before if you watch Mythbusters) was willing to teach people for what felt like a tiny amount of money, and Scott was a great teacher.
The biggest thing that I had to learn was "how to know when its done" - which can range from when it's functional to when it's functional and form is beautiful as well, or anywhere in between. There's some of that in programming as well, but "it works" and "the tests pass" are hard and fast stopping points compared to "Do I add another twist to this, or should I add a scroll instead?"
The biggest thing I miss from smithing is creating something physical. Watching a program form and execute perfectly is fun, but there's something simply magical about taking a letter punch and turning it into a elegant scribe.
Sadly, I have not continued beyond learning the basics, but I still look on the craft with a smile, and hope that some day I can spend the time to do it again.