Jonas has put together a useful overview of why the "new" Context API in React is probably a better option than Redux for many simple use cases, as well as step-by-step instructions on how to set up a Redux-like global store using it.

In combination with the useContext and useReducer hooks we can create a global store that manages the entire app’s state and supports convenient ways to update the state throughout the app regardless of how deep the component tree goes.

The only downside to this approach appears to be scalability, but honestly very few sites are going to need to track more than 2-3 pieces of global information which this should manage nicely.