I'm an Android newbie — do I want to use CyanogenMod?

I really love my Nexus 7. So when it came time to get a new phone, I ditched the iPhone for a Galaxy SIII, and I haven't looked back.

But...

I like the Nexus 7 so much, that I think I'd like the SIII even more if I could have a more "pure" Android experience. From what I've read, that's what something like CyanogenMod provides. (Though to be honest, I've looked at plenty of articles that take on the question of "Why CyanogenMod?" and I have yet to be entirely sure of the answer.)

Is it worth it? Or am I barking up the wrong tree?