I actually think Tailscale may be an even bigger deal here than sysadmin help from Claude Code at al.
The biggest reason I had not to run a home server was security: I'm worried that I might fall behind on updates and end up compromised.
Tailscale dramatically reduces this risk, because I can so easily configure it so my own devices can talk to my home server from anywhere in the world without the risk of exposing any ports on it directly to the internet.
Being able to hit my home server directly from my iPhone via a tailnet no matter where in the world my iPhone might be is really cool.
Now I have tailscale on an old Kindle downloading epubs from a server running Copyparty. Its great!
Tailscale gives me an app I can install on my iPhone and my Mac and a service I can install on pretty much any Linux device imaginable. I sign into each of those apps once and I'm done.
The first time I set it up that took less than five minutes from idea to now-my-devices-are-securely-networked.