Hosted headscale for quite a while, it works great and there is plenty of help in the discord if you need it.
Good shout, get some metal hangers too as a backup.
If you are only accessing the services while connected to tailscale using the tailscale admin console you can add a nameserver, and then point that to a local DNS resolver. The local resolver can point the URL you want to the IP with the ports you want. I don't know if Synology has DNS resolving apps but that might be an option, otherwise you could run pihole or something similar to achieve this.