Jailbreaking is freedom for your Apple iPhone, iPad, or other iOS device. It means you can install third-party apps Apple hasn't yet approved (including tethering apps to use your device as a modem for your computer) and have more control over your device. Ever since iOS 6 came out months ago, we've been waiting for a jailbreak solution that didn't require you to plug your iDevice into your computer every time you rebooted your iOS device. That day is now.
iOS hacking team "evad3rs" has released a tool called evasi0n that jailbreaks your iOS 6.x device over Windows, Mac OS X, and Linux. And you don't have to plug in your iPhone, iPod touch, iPad (or iPad mini) for every reboot.
According to the developer's page, it works on every iOS device from 6.0 through 6.1. Initially you'll need a USB cable, but after that, your device works as usual. It should take about 5 minutes to complete. All you need to do is download evasi0n for your operating system, plug in your device, and disable Passcode Lock (if necessary), and follow the instructions. Then you can head over to Cydia and load all the useful, productivity-enhancing apps you want.
Before you attempt the jailbreak, though, it's a good idea to back up your device via iTunes.