I'm sure the iClinic is not a chain, but if you shop around your area you may find a place that is "blessed" by the mighty Apple, AASP, Apple Authorized Service Provider, that will do it cheaper than a Genius.
Then again if your contract is up pony up a few bucks more than a repair for a 5s. The 4 was discontinued 3.5 years ago. The 5s is many time times faster better screen resolution camera improvement 4 year newer technology. Serious IMHO.