I gotta dumb this down, huh?
Wireless = easier to install hardware, can cause some problems installing software. You will need a card for each computer, and a router.
Wired = harder to install hardware, usually plug in the computer, though, and the software is already working fine. Your computers probably already have a network card installed, so the only thing you have to buy is the router and cables.
If you go wired, make sure the router is capable of 10 or 100 mbps transfer. There are some 10mbps hubs floating around, I see from time to time, which you don't want.
If you go wireless, get 54g. Cheapest, and plenty fast for internet use.
Neither are too hard to configure the software, just go slow and follow directions. And for sure, turn on encryption if you go with wireless.
Electrical wire networking is probably not a good idea. From what I understand, extremely slow, and its lack of widespread use certainly limits support and equipment and drivers.