OK, lets take this one step at a time.
Starting at the phone line coming in, you will have a pair of incomming wires for your (assuming single line) connection. That pair will terminate at your master socket. That master socket will be one of two types. The first will just be a normal phone jack (RJ45). The second will be an RJ45 and RJ11 connector. IE the latter splits it into dedicated phone and dedicated ADSL line respectively.
To move it depends on which type of master socket you have. If it's the latter type then you can just run an extension from RJ45 to RJ45 from the master socket to your new location. If it's the former then you can run a normal extension to the new location (but then as previously stated all phone connections to that line MUST use an adsl filter to avoid interfering with the broadband signal).