IPhone Settings transfer to a new iPhone?

I have an iPhone 4S and would like to transfer all my data files, especially text / SMS messages to my new iPhone 5S. However, I have used the iPhone 5S for two weeks now, and I don't want to the lose the data files on that either.

Is there any way to migrate the files from the 4S onto the new 5S whilst retaining my data files i.e. Text / SMS messages on my new phone?

Probably not. That should have been done before you actively started using the 5S.

Backup the 4S & restore from that backup on the 5S using iTunes.

Connect the 4s to Wi-Fi back up all your data to iCloud then sign into the new iPhone under your existing apple accout. Or back the 4s up to iTunes on your computer then use the data cable to sinc the data to your new phone