LÖVE

What I do for my tests is that I set a DynDNS thing up (like No-IP.com), which allows you to bind a domain name (like mygame.ddns.net) to the IP of a computer you own and where you can run your server software. I've done that for many little projects, I let a Raspberry Pi run and I share the link with my friends. It's easier than remembering an IP (even more in case of IPv6 !).
If you own a domain name, you can run your server software on it and stop worrying about the IP address.

Thanks, Rucikir. Will try that soon.