This is the Jailbreak homepage. The links below take you to some of the jailbreak sites that I find most helpful.
Types of jailbreaks

When you install this type of jailbreak on your idevice and reboot, you must connect your idevice to  a computer and run one of the tethering programs (i.e: redsn0w, ibooty or some other one).

When you reboot with the semi-tether patch installed you can use most of the system apps (i.e: mail, settings,  

This is the best one, you may reboot your idevice as much as you want.

Evasion7-Jailbreaks any and all iDevices running IOS 7.0 to 7.0.4! This is a fully untethered jailbreak!

Evasion-  Jailbreaks all iDevices running 6.0 - 6.1.2. No longer officially supported by @pod2g. Good for iPod touch 4th Gen. Or any iPhone 4, 4S, 5 and iPad 1 , 2, 3, 4, 5 running IOS 6. We still have a download link down below. This is a fully unteathered jailbreak!

greenpois0n-outdated, but a excellent Choice for IOS 5.1.1 or 5.0.1. This is a fully unteathered jailbreak

redsn0w-is outdated but still works to boot tethered devices into proper jailbroken state.

sn0wbreeze is not much of a jailbreak tool anymore, mainly for restoring IOS versions and building custom jailbroken .ispw

cydia-is the official jailbreak 'app store' where you install your tweaks, hacks and so on.