The evasi0n jailbreak has officially been released earlier today and is capable of jailbreaking all of your iOS 6 and iOS 6.1 devices. I've given the piece of software a test run on my iPhone 5 and it is confirmed to be working and extremely easy to use. All it takes is one click on your computer and a tap on the iPhone and the device will be jailbroken.
Linux, Mac, and Windows are all supported by the jailbreaking tool, which means you can jailbreak your iDevice no matter what operating system you are using at home. You can download the jailbreak tool at the evasi0n website. Let us know if you have any trouble jailbreaking your device!