We can easily create our push notifications using web-push without using a 3rd party service like Firebase Cloud Messaging (FCM).
By using the new way to provide self hosted push notifications called VAPID (Voluntary Application Server Identity)
Then we create and install Service Worker that interacts after receiving the new push notifications. Showing notification is the choice. The key point is that after you subscribe to web-push successfully, you can receive push data anytime. You might use that information in ways you can't imagine.
You can find the full tutorial here this tutorial will walk you through the process to create self-hosted push notification service.