With 192megs of RAM, you have many choices. For minimum pain getting wireless working, I suggest a full featured "heavyweight" distribution like Ubuntu.
Be aware that Ubuntu's default GNOME desktop interface will be slow and sluggish with 192megs of RAM. However, since you're new I think it's better for you to start with something easy even if it's sluggish. After you get a little comfortable, then you can install a lightweight desktop like IceWM, which will be nice and fast on that hardware.
I have a old Compaq laptop with 192megs of RAM, and a 400mhz processor. Ubuntu simply worked, out of box, and when I plugged in a Belkin USB wireless adapter it just plain worked. The default GNOME desktop environment was sluggish, but I knew it would be. I then installed IceWM, and customized it to start the nm-applet icon in the taskbar (the thing you click on to connect to wireless networks). It was nice and zippy after that.