Re: Wireless network
Chances are good your laptop came with at least one (or more) wireless features built in, to include an 802.11a or a/b or g adapter. If you only want to wireless communicate with one other computer, and that computer has an open PCI slot, get yourself a wireless PCI adapter. This will cost you anywhere from about $50 to $150 depending on brand chosen. These two computers can be set up in what's called "Ad-hoc" mode, meaning, they will be wirelessly communicating without an Access Point. The other option you mentioned - sounds like either a combo Wireless/Switch/Router, is also known as an Access Point. There are many of these on the market for around $100 that do up to three things for you: allow you to share an Internet connection (like DSL or Cable) with up to 4 or 5 hardwired Ethernet PCs. The Internet sharing is the Router function, the 4 or 5 hardwired Ethernet connections is the Switch function; and you can also have a whole bunch more computers wirelessly get to the Router to also share the Internet - this is the wireless AP function. Some of these also have a built-in Print Server and may support some advanced internet features like firewall protection and VPN connectivity.
Blue-tooth, the last I looked, was for very short-range (like, within your living room) wireless connection of peripherals to a computer. For instance, your free laptop, if it has bluetooth built in, could be the master computer so to speak that all your bluetooth peripherals - printers, cameras, PDAs, etc, could communicate to/through.