Solution 1:

Firebase SDK for Cloud Functions includes the Firebase Admin SDK, you can find an example that we made here Send Firebase Cloud Messaging notifications for new followers

In brief:

const functions = require('firebase-functions');
const admin = require('firebase-admin');
admin.initializeApp(functions.config().firebase);

exports.foo = functions.database.ref('/bar').onWrite(event => {
  const tokens = ...;
  const payload = ...;
  return admin.messaging().sendToDevice(tokens, payload);  
})