You can jailbreak any iOS device running iOS 8.1.1 using the TaiG jailbreak tool. This includes the iPad 2 and later, all three iPad mini models and the iPhone 4s and later.
Users with jailbroken iOS 8.1 devices will need to wipe their existing Pangu jailbreak and re-jailbreak their device if they want to upgrade to iOS 8.1.1. Remember, this will cause you to lose all your installed tweaks and they will need to be re-installed after your device is jailbroken using TaiG.
You can learn how to jailbreak your iPad or iPhone using TaiG by following these instructions.