The modem/router you will need to bring across. You will also need to enable your connection in your new residence. If you are with ADSL/DSL connection, the other premises the phone line needs to be activated for DSL. In Oz, we call it 'churn' and you won't need to resign but as a transfer account. There is also a specific period required for the account to be transferred, simply because the ISP has to enable the connection at the exchange. Do this at least two weeks before moving over.