Apple to start in-store iPhone 5C screen replacements starting 1/20
According to 9to5Mac.com, Apple will be replacing broken iPhone 5C screens in their stores starting next week:
"Apple has begun conducting iPhone 5c screen replacements in a small number of stores in the United States over the past couple of months, but the January 20th rollout will represent a full-scale launch in all of Apple’s retail regions aside from Hong Kong and Canada."
Currently, broken displays are not covered under AppleCare, so their may be a fee for the service.