[oneplane]

You probably already have this. Nearly every ISP has been delivering home gateways with DHCP and DNS built in, and DHCP-registration into the local DNS cache. So <your-computer>.lan or <your-computer>.home are likely candidates. Check your settings to find out.

Besides DNS-based naming there is Multicast DNS (Bonjour/Avahi/ZeroConf) and NetBIOS naming (which still exist and works on most operating systems that have Samba or something similar).

In any case, you don't need a remote service like Cloud9 or Tailscale to any of this. Normal networking has done this for decades.

The next step beyond this is running a more capable DNS system in your home network. Generally this takes the shape of a DNS forwarder service running on a router or server. It could be as simple as a PiHole or OpnSense firewall, or however complicated you might want to make it.

[aendruk]

See also .home.arpa which is designated for this purpose.