brian3000 :
I did see that the desktop was recognized with it's specific device name so there's some progress...I guess. My wi-fi printer isn't even here yet so there's no hurry.
You don't need to understand the majority of it. Just IP addresses, how to put a password on your wi-fi and disabling firewalls and Access Point settings (AP is for businesses that install Wi-Fi in shops and want to isolate every user from each other and just provide them with internet). Have a little root in the menu's for your wireless SSID (which will tell you what your name is when you connect your PC via wi-fi) and see if it connects, if it does don't muck around any more. Seriously, buying a book about networking will be a waste of money because you will either not use it, or seriously muck up the default settings with little things it doesn't tell you. You router will be configured automatically to use DCHP which is what is known by Windows XP as "Zero Configuration" for a good reason. Like was said earlier, you don't really want a router to be anything more than a switch, that means most of the options are irrelavent anyway.
You connect your device to the SSID, it gives you an IP address and you're off, which you have done already ad seems to be fine. You then connect the other device (Printer in this example). You go back to the Windows computer and hit Control Panel\Network and Internet\Network Connections, then right click your Wi-Fi dongle in the list of connections and hit 'Status'. It will show you a list containing all the settings that have been
Automatically Set for you. You want to keep it this way (looking from the outside in) and leave your router to it's devices.
Note down your IP address in this list and your IPv4 default gateway. The former is the address you will give to your printer when you set it up, the latter is the address that the router holds for everyone else to connect to it. This is why you should not muck around with those settings yourself before you connect your devices. Your router KNOWS what's in the area and will assign itself a (radio) channel and IP based on both non-interference, security and standards... all of which a months worth of research might teach you half of.
For example, that subnet mask stuff MUST be 255.255.255.0 or 255.255.255.255 because that's an international standard for home networks, your 'internal IP' (which is the only one you will have because the external IP is actually the one given to you by the ISP to denote your home as a 'device' on their routers) must be within the ranges of 192.168.0.0 and 192.168.255.255 as defined as a cleared space by international internet standard. The intenet basically has nothing on these addresses so that it's impossible to have a website pretend to be a device on your network and vice versa (which could be a security nightmare). Now you could choose to ignore this you set your router IP as something outside that range and things would appear to work fine, but you will encounter apps that will crash because they don't believe your printer is at home and things that will fail with no explanation, there are all kinds of problems like this in networking. This is why home networking is really best left to zero config systems built into your router.