These videos demonstrate how to use untethered jailbreak tools like Pangu and TaiG on iOS 8.1:
A key feature of jailbreak software for iOS 8.1, such as the or TaiG tools, is the untethered nature of the jailbreak. This means your device remains jailbroken even after a reboot, without needing to reconnect it to a computer to "re-jailbreak". Jailbreak Software For Ios 8.1