I have a wireless router but it's connected to my PC by cables. I bought it specifically so I could connect my Touch to it, and it works great. If, at some point in the future, I get a laptop, I'll simply need to get a USB connector for the lappy to pick up the wireless signal.
Connecting the Touch was a piece of cake! It found the wireless signal, asked for the router's password and bingo! And it remembers the password too, so you only need to put that in the first time you connect, unless you change the password for the router.