The networking aspect will likely be the trickiest, but if you’re already interested in administrating a VPS you can absolutely do it.

1. Have an ISP that doesn’t block inbound connections. So far both Comcast and Verizon have been cool to me in that regard.
2. Configure your router to always give your host machine the same internal-network IP address.
3. Configure your router to forward any relevant ports (TCP/80 for insecure HTTP, e.g.) to the internal address you assigned to your host.
4. Go to ifconfig.me or similar to ascertain your public Internet IP address.
5. Buy a domain (Namecheap has been good to me for a decade) and change its A record to point to that address!

Not hard, but not exactly uncomplicated either.