When I start my computer the wireless automatically connects to my nieghbors WiFi, how do I make his WiFi address disappear from my options?

System Preferences -> Network -> Select Wi-Fi from the left column -> Advanced -> Wi-Fi -> Preferred Networks

Find your home network, click and drag it to the top of the list.

Go through the list of Preferred Networks, and delete any networks you do not wish to use any longer. Or at least drag them lower in the list so they are checked later, rather than sooner.