Since babel 7 was released, it supports typescript integration. You just have to run :
react-native init MyAwesomeProject --template typescript
cd MyAwsomeProject
node setup.js
That's all 😏
For typescript support, you need to use react-native-typescript-transformer.
Facebook wrote a great article about how to setup your project with it. Just follow this blog article: https://facebook.github.io/react-native/blog/2018/05/07/using-typescript-with-react-native