How to reset an iphone's app progress?

I got a new Iphone4s and I want to have the same apps on it as my ipad. However, I want all the apps to restart my progress. How do I do it?

Most apps will ask you if you want to sync, but if they don't you can normally find a reset game option in the settings

Underneath my instagram icon, it says waiting and will not let you open it

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