Ideally you want your router close as possible to the master socket to reduce the line cable run to it, as that is susceptible to line noise which can harm your signal quality and reduce speed or cause drop outs. Shorter the line the better.
What’s the reason for moving the router? WiFi signal?
For WiFi, you want a WiFi point somewhere central in the house. Often master sockets are stuck in a corner where the signal is half lost with the corner walls, and far away from the other side of the house.
You can do some WiFi extending. Either Ethernet cable to a Wireless Access Point or go with something like a Powerline WiFi extender that uses your mains cabling. Don’t get a WiFi repeater/booster that takes the existing signal to repeat it elsewhere, as it halves the data rate.
Similar if you just want a wired connection to the router. You can just get a long Ethernet cable and wire an Ethernet socket where you want it, or even an Ethernet switch which will give you lots of ports.