Apple has released iOS 7.0.5, a minor point release aimed at fixing iPhone 5s and iPhone 5c network provisioning in China. Unfortunately, there don't seem to be any bug fixes or performance and stability fixes for anyone else in there, which is kinda maddening. Because, re-springs.
You can update over-the-air (OTA) or, if you're old-school, by tethering up to iTunes. Once you have it up and running, let me know — what, if anything, does it improve for you?