I maintain this teapot:

It returns a 418 error when it is pinged, and it is pinged regularly by people arriving from the relevant Wikipedia page. (For those interested, and there appear to be a few of you, the relevent story is here)

It sits on a shelf in my office in the Computer Science department of a university and the support guys were kind enough to give it a dedicated IP address some years ago.

My contract is coming to an end in the next few weeks and it's occurred to me that I'm going to have to do something with the teapot. I'd like to take it home but I have no clue how to explain to my home broadband supplier that I want a dedicated IP address coming to my house so that people can ping a teapot.

Is there a reasonable way of having a server on a shelf in my house that people can ping via an IP address? What search terms can I use to find a solution to this problem?