I use a combination. We have desktops that are wired, and I do most of my "sensitive" stuff on my desktop (finances, taxes, that sort of thing). I don't want that on a wireless connection.
I do have a wireless router (connected to a screened subnet so it doesn't access my desktop traffic) for the laptops, so if I need to move around the house I use those.
It really doesn't take much to wire your house (depending on how much you want wired). I wired up our office room (connections from a server closet into the room) myself, took about an afternoon (maybe 3 hours total), which included building my cable, installing jacks, and connecting everything. Total cost was about $75 maybe, and that was for four lines (a four-jack connection in the closet and two two-jacks in the office).
The wired connections are easier for things that don't move much, such as network printers, servers, or desktops. They're faster and don't leak signal 200 meters in every direction. Also more secure (128 bit WEP encryption on wireless, for example, can be broken in about 15 seconds with a 1GHz laptop).
I'd take issue with the idea that wireless is cheaper, though. That really depends. Total cost, I'd say wired is cheaper overall. Wireless you're looking at $50 per computer for a wireless access card, plus the cost of a wireless modem. Almost evey computer sold today already has networking built-in for wires, so you only need to pay for the wiring ($75 for four systems, in my case, plus $100 for the router/modem).
Of course, if you already have wireless cards in your system, or already have a wireless router or access point, then wireless is probably cheaper. It really depends on where you are now.