Can I Jailbreak My iPhone 4 (iOS 6), If It Is Unlocked?

My iPhone 4 is unlocked, my carrier is Simple Mobile. I'm running on iOS 6, Can I jailbreak my phone without messing anything up? Should my phone work fine after jailbreaking?

Yes. I did.

You currently can't jailbreak any device on OS 6.

Yes it will work fine.

Yes tou can jailbreak even if unlocked.