Basically, all you have to do in order to detect any size changes is to produce one or more <MediaQuery> components when rendering, and those whose requirements are met will actually be rendered, and the rest won't appear on the page.
Let's write a very basic example with plenty of media queries, to see the coding style you'll be using. The following is an example given in the react-responsive GitHub page; we'll just try to detect some aspects of the current device and window:
// Source file: /src/App.4.js/* @flow */import React, { Component } from "react";import MediaQuery from "react-responsive";const XS = 576; // phoneconst SM = 768; // tabletconst MD = 992; // desktopconst LG = 1200; // large desktopclass App extends Component<{}> ...