Wiring Options

Hi all,

I’m moving to a new house, which has the following setup: a TAE connection in the cellar closet (where the previous tenants had their modem/router), next to which is a 3-port ethernet hub connecting to outlets in the Wohnzimmer (on the EG) and to two rooms on the 1st floor.

With the router in the basement closet, WiFi was (unsurprisingly) fairly weak throughout the house.

My hiccup: there is another room in the basement, which is finished, and which I would like to use as my office, and which I would like to have a wired connection for (so that I’m not reliant on weak WiFi). It also has a TAE connection box in the wall (but isn’t connected to the closet hub via that in-built ethernet connection). Is there a way to keep the original setup that the previous tenants used, but also to somehow use the TAE connection in the basement-office, so that that room has wired internet access?

I know that I could:
(a) run an ethernet cable across the length of the entire basement, from the office to the closet
(b) hire an electrician to run another ethernet cable through the walls

Are there other, better options available to me here?

(e.g., can I connect a second router as an access point, without needing a second modem and a second contract?)

Thanks very much in advance for your collective wisdom!