How to upgrade jailbroken iPhone?

I have the iPhone 4s and it's already jailbroken with the 5.1.1

I want to upgrade it to the 6.1.1 and jailbreak it again…
Can I just click upgrade from the settings on my iPhone while it's still jailbroken?
Or do I have to restore it from iTunes and then upgrade it?

1. Back up iPhone
2. Restore
3. Jailbreak
4. Restore from backup

If you want to jailbreak the right way, here's a step by step tutorial on how to do it:

Here are some cool things you can download once you're jailbroken:

Hope this helps you out!

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