Personally, if I were buying right now rather than when I bought my nexus 2 months ago I would go with the SGIII. However, no matter what phone you decide on I would HIGHLY recommend buying through AmazonWireless.
http://wireless.amazon.com/b/6841770...1&pf_rd_i=G001
It's just like buying through Verizon but I saved over $100. Ignore Amazon's warranty and just call Verizon to activate the phone and get their insurance.