is that you get an ethernet wireless router, one that will connect to your Cable modem. Because you're using a cable modem you can use a standalone router, you don't need one with its own modem built in.
The model that Virgin has recommended is ideal, as is the wireless network adapter for the laptop.
Following the easy instructions that come with the router, connect it to the modem, using the lead that currently runs from the modem to your computer. The connection to use on the back of the router is the one that is marked clearly on the setup guide that's in the pack - you can't go wrong.
Now use the lead that comes with the router to connect your computer to any one of the LAN sockets on the router's back panel.
Install the network adapter on your laptop in accordance with the supplied instructions.
Now turn on your main computer and follow the instructions to configure the router - make sure it's switched on.
Once that's done you should see the router establishing a connection to the modem. That's all there is to it - just make sure you follow the instructions that come with your router.
Now use the the lead that is supplied with the router to connect your computer