What should I use to jailbreak my iPhone 5?

What should I use to jailbreak my iPhone 5?

What ios is it running

If you are using iOS 6.0.0, 6.0.1, 6.1.0. 6.1.1, or 6.1.2; use Evasi0n. If you are using any other iOS (including iOS 6.1.3), then you can't jailbreak your phone at the moment (up to date as of 4/19/2013).

Jailbreak here:
http://evasi0n.com/

Don't update in iTunes!

First check here for the latest info on genuine jailbreaks;

http://www.isthereajailbreak.com/