Discord offers a good default WebHook, but sadly it does not support all the events I deemed interesting and I wanted to filter reported events by repository too.
This is why I've created Great-GitHub-To-Discord-Webhooks (great name, I know).
// TODO: Write a great README.md
The project is still Work In Progress – It works for my use-case right now but I'll probably extend it for my use-case too
For now, there's no UI to configure the WebHooks, so you'd have to host the project yourself... But you don't even know the features yet, sooo... lucky me!