Download iOS 6.1 Jailbreak from : http://61.ultimatejailbreak.com
From Where you can access iOS 6.1 Jailbreak then you have to read furthur more about it.
Apple iOS 6.1 Apps and Jailbreak Official Website : http://61.ultimatejailbreak.com
Apple Software Update iOS 6.1 Compatibility:
iPhone 4GSM Model
iPod Touch 3rd generation
iPod Touch 4th generation
The following steps will help you jailbreak your device on Apple iOS 6.1
Step 1: Go to www.apple.com
and Download latest iTune v 10.2.1 and Update your device to Software Update 6.1
Step 2: Then go to http://iOSJailbreakX.com
and Download iOS 6.1 Jailbreak for Mac or Windows
Step 3: Save the iOS 6.1 Jailbreak Tool on desktop and Run as Administration
Step 4: Select your device and click on jailbreak button.
Step 5: Let the application do its work and wait for the app to show "Jailbreak Complete!" message.
Step 6.1: At this point, wait for the device to automatically reboot otherwise Reboot it according to the messesge.
Step 7: Finish! You should now have a fully jailbroken iPhone & iPad & iPad firmware iOS 6.1