The Airport Extreme is a router and switch combined (as are most home routers--wired or wireless--today). Wireless units also have Ethernet ports for wired connections as well.
There is no "best router" for a given PC. Communications gear (modems/routers/switches) are PC-agnostic, and computers are telecom agnostic. Just like printers, it really makes no difference what brand you buy (assuming it's not junk in the first place). Apple's Airport Extreme is my first specific recommendation, after that, other brands include Linksys, Netgear, and D-Link.
It sounds like you have very little training or knowledge in this realm (and that's OK, ya' gotta start someplace), and the forums, as great as they are, may not be the best tool to assist. While we have the talent onboard, the back-and-forth can take a while, and lead to some misunderstandings. I would advise to have a knowledgeable and trusted friend assist you in selection & setup if possible. I say trusted, mainly because we don't want them talking you out of all the Apple goodness! 😛