Restore the new phone from the backup of your old one. If it isn't set up yet you will be given this option during the setup. If it is already set up you will have to go to Settings>General>Reset and tap Erase All Content and Settings, then go back through the setup again and when given the option choose Restore from iCloud Backup (see image below). Be sure you are connected to wifi and your charger as this will take some time to finish.
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