The easiest way would be to go wireless. You would get more flexibility with the new laptop this way as well as you could use it in any room.
I assume you are on broadband via your phone line (not cable) and you have a simple wired modem to your current PC. If so, you’ll need a wireless modem / router (what you have called a hub) instead. Any new laptop you get will have wireless functionality built in so no problem there. The old PC probably doesn’t though, so you’ll need a wireless adaptor for this.
Something along the lines of the 2 products below should get you up and running for less than £50. I’m not recommending them specifically as I haven’t used these specific products, just pointing you in the right direction.
http://www.maplin.co....-4-port-switch-517339
http://www.maplin.co....usb-2.0-adaptor-45095