Quick example, where after I have registered a user, I add that user to a usersCollection and supply other field information as necessary.
In my firebase powered app, what I do is the following:
import app from 'firebase/app'
import 'firebase/auth'
import 'firebase/database'
import 'firebase/firestore'
const config = {
  apiKey: process.env.REACT_APP_API_KEY,
  authDomain: process.env.REACT_APP_AUTH_DOMAIN,
  databaseURL: process.env.REACT_APP_DATABASE_URL,
  projectId: process.env.REACT_APP_PROJECT_ID,
  storageBucket: process.env.REACT_APP_STORAGE_BUCKET,
  messagingSenderId: process.env.REACT_APP_MESSAGING_SENDER_ID 
}
class Firebase {
  constructor (props) {
    app.initializeApp(config)
    this.auth = app.auth()
    this.db = app.database()
    this.firestore = app.firestore()
  }
  signUpWithEmailAndPassword = (email, pw) => {
    this.auth.createUserWithEmailAndPassword(email, password)
    .then(registeredUser => {
      this.firestore.collection("usersCollection")
      .add({
        uid: registeredUser.user.uid,
        field: 'Info you want to get here',
        anotherField: 'Another Info...',
        ....
      })
    }
  }
}
Hope this helps.