Ask HN: Advice to switch careers from aero eng to software programming remotely?

I have an aerospace engineering degree and I work as a structural engineer in the aviation industry, but I want to switch careers into software programming remotely. I have some programming experience (mainly C++ for computational fluid dynamics analysis) and I'm fairly knowledgeable with computers. Other languages I've dabbled briefly in are JavaScript and Python.

The biggest thing that attracts me to working remotely is the flexibility to live anywhere, and set my own working hours. I also very much enjoy working with software. I'm just at a total loss on how to even begin to switch careers at this point, and I'm not particularly fond of spending more money on schooling. Any advice would be very appreciated!