Setting up a Wireless Network at Home
Creating a wireless network at home actually straight forward except there are so many ways to set up a network, wireless only, mixed wired and wireless, etc. For a simple wireless home network you will need a router and a Wi-Fi Access point (AP). Now days, you can buy these two capabilities in a single unit, for example, the Linksys Wireless Broadband Router includes the wireless access point.
To understand the terminology and different ways networks can be setup, I recommend you get a good book on the subject. An excellent book is “Absolute Beginner’s Guide to Wi-Fi by Harold Davis”.