Hardware & Devices

Yes, your computer can access more than one network at a time, but it can't be through the same network interface.

IE, you can't be connected to two different wireless networks, or two different wired networks at the same time, through the same "card". Now, if you had an internal wireless adapter, and then a PCMCIA or USB adapter, then each could connect to a separate network. 

The easiest way, since you're using wireless right now to access the internet, is set up a wired connection to the new router that's going to be stand alone.

The only thing you'll have to make sure is that the two networks are on different subnets. What I mean by that is:

If the wireless IP is currently 192.168.0.X, then the wired would have to be anything above 192.168.1.X. To avoid network confusion, don't put a default gateway in on the wired network, so the only adapter the computer will try to use for internet access is the wireless link.