The history:
I've had a Samsung Galaxy Nexus on Verizon since late March 2012, and love it (of course I'd like to upgrade to the Note II, but the Nexus is great).

Last month, my display went out on me, and Verizon very professionally overnighted me a replacement, refurbished phone. After spending the last month setting the phone up like I had the original one I started having radio trouble, and have had to get the replacement replaced, I should be getting it this evening.

So the question (skip here for question) is: How can I copy not just Google account (apps, contacts etc...) from my old Nexus to the new one, but the app settings etc... I'm not afraid to try rooting if somebody would help me out. I'd do just about anything to not have to copy everything over manually again! I would need to know what to do from the very ground up :/

Thanks in advance for your help, hoping that the new Nexus works through the end of it's contracted life!