Avoid status bar overlap on all screens

I want all screens on my app to appear below the status bar on both iOS and Android, so I'd either have to add a StatusBar component or a paddingTop to all my screens.

Is there a way to do this globally? Where is the appropriate top level component to add the StatusBar in a Redux app? (e.g. which part of https://github.com/react-community/react-navigation/tree/master/examples/ReduxExample)?