Use a wireless network with a wireless router & adaptors.
To set up your wireless network, you’ll need:
One Wireless Router: The Wireless Router is a wireless Internet-sharing device that connects all your computers to the Internet and to one another. It connects to your cable modem or settop box.
One Network Cable: This connects your Wireless Router to your cable modem or set top box. Alternately, the Network Cable may connect your Wireless Router to one computer.
One Wireless Network Adapter for each computer. There are three different types of Wireless Network Adapters: 1. USB Adapter – Choose this adapter for a desktop with an available USB port. 2. PC Card - Choose this adapter for a notebook. 3. PCI Adapter – Choose this adapter if you are comfortable opening your desktop.
If you look into the Telewest website I'm sure there'll be more advice & links there to set up your wireless network. If I find any I'll be back to post them here.