"What do I do in componentWillReceiveProps?" It's a good question. Looking through the code I see alot of cases in which I am mapping new props to state, sometimes transforming received network data that is stored in redux, sometimes making a barrier to redirect to a different page if for example some condition has changed.
Perhaps these things are relics from before I really came to understand Redux - maybe in most cases I can just directly use props rather than having an intermediate setting of state.