I've heard back from NextWorth now, so I figured I'd give a little more info if anybody is interested. I had a Sprint Iphone 5 16 gb in white. It being Sprint automatically made it worth less than an AT&T phone. Also, at one point I had a bumper from Spigen on it and the phone was dropped. The bumper fell apart as soon as the phone hit the concrete and as a result, my pristine phone was left with a ding and a few scratches on the top right corner. The screen however was still pristine.
The NextWorth site asked only a couple questions about the condition, Did the phone function (Yes) and was the screen cracked (No). They then quoted me a trade-in of $240, which was more than anyone else offered to me (Gazelle offered $210, BuyBackWorld was closest with $235). However with the 10% more code from their Facebook page my quote ended up being about $265.
I mailed it out and they received my phone in a couple of days. Then after a couple more I received an email from their inspectors. They gave me the full value for my phone, even with the ding and scratches to the body of the phone. And I was able to keep the charger to use when I order the 5s without it affecting the value.
I realize I could have received more money on Ebay or Craigslist, but it was worth taking a little less to get rid of the hassle of those sites (Sprint iPhones don't get much money on Craigslist where I am and the gas and traveling to the nearest location with Craigslist made it not worth it).
So, my experience with NextWorth went great. It was my first time using a trade-in site so I was really nervous but it went great and was hassle-free. Now I am just waiting for them to put the money in my Paypal account, which they told me they expect to be done by early next week. Overall, everything went great so based on my experience, I would highly recommend them.