Well, that was simpler than I expected it to be. Today I bought a Linksys WRT54G wireless router, and brought it home. Lo and behold, it Just Works™ with Ubuntu Linux! Everything was preconfigured in the install. All I had to do was run the Network Setup wizard from within GNOME on my Linux desktop and it worked fine out of the box.
So now I can be online while wandering about the house. Maybe I’m typing this naked….you’ll never know. Heh.