If your modem does not transmit wifi, you will need to upgrade it to one that does or use a much longer network cable.
The longer cable will be the easiest for you because you will need your username and password handy (most likely) as well as securing a wifi network unless you live in the sticks,
If you are moving house, are you changing providers for your broadband? If so, they will seen you a wifi router by default usually (unless you said not to) so the problem would be solved... who is your (new) provider?