icloud storage

If you had iCloud Photos turned on in your old phone, turn that option on in your new one (using the same Apple ID for iCloud). See: Set up and use iCloud Photos - Apple Support

If you had Contacts, Calendars, Notes, Reminders, iCloud Drive, etc turned on in your old phone turn on those options in your new one (at Settings > [username] > iCloud.

If you had an iCloud Backup of the old phone, see: Use iCloud to transfer data from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support

For other methods see: Transfer data from your previous iOS device to your new iPhone, iPad, or iPod touch - Apple Support