Has anyone ship anything to fedex?

I never shipped anything to fed ex before? I have an apple refurbished product that I need to ship back using fedex and I was wondering since it has its label and everything and if i want to ship it using fed ex/kinko's store will they charge me? I don't want to use a drop off box cause they might not pick it up and I want it delivered back asap! I would have done it on Thursday/Friday but they wrote my name incorrectly and then I had work so I couldn't! So if i give it to the fedex at kinko's place will they charge me to ship it? or should I call to see if they will pick it up at a drop off location? What should I do? The package is for overnight shipping?