How do I move an app entirely from an iPod to an iPhone
You can download the app again from the App Store under the Updates tab > Purchased and searching for its name.

Your data/progress in the app will not transfer unless:


It uses iCloud for data storage and you are signed in to iCloud with the same Apple ID on both devices, or it uses a developer-specific way of syncing to a cloud service
You backup the iPod, reset the iPhone to factory settings and restore the backup


Otherwise, your progress in the game will be lost. There is no way to transfer data for a single app between devices.