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5S all the way. Like 10yearfido said, the 5C houses older hardware than the 5S. The 5S is more "future proof" than the 5C because it has a 64-bit architecture and faster processor. In addition, the 5S has a metal exterior housing compared to the plastic-body 5C, a better camera, and Touch ID (fingerprint scanner which is much more convenient and secure compared to the classic 4-digit passcode). Overall, the 5S simply feels like a premium device over the 5C.
Definitely get the 5S. The c in 5C stands for cheap. The 5S has much nicer hardware, nicer camera, and much better build quality. Only reason to get the 5C is if you can't afford the 5S but really want an IPhone.