Please do the following in order to transfer your game progress to your new iOS device:
1) Make sure that you are registered in the app itself on your old device. Please tap on Settings ( = three horizontal lines in the upper right corner of your Collection page) - Account.
2) If you are logged in the app, on the Login page you will see your Facebook name or e-mail you used for registration in the app. If you are not logged, you will see the word "Connect" or "Login with email". In this case you need to register in the app to be able to transfer your game progress.
3) After that use the same e-mail or Facebook to log in the app on your new iOS device.
All your progress will be moved automatically.
4) In order to restore puzzle packs: https://ipadpuzzlessupport.zendesk.com/hc/en-us/articles/200967698-How-to-restore-purchases
5) In order to restore the Gold Deal/All Inclusive: https://ipadpuzzlessupport.zendesk.com/hc/en-us/articles/204895279-How-do-I-restore-the-Gold-Deal-No-ads-option-All-Inclusive-Unlimited-Energy-