I read through all the dev docs stuff at https://developers.facebook.com, but I found no simple solution to solve that one simple question. I want to display my own posts detail at my website. Is that even possible?
This is possible using IG Basic Display API and the GET /{user-id}/media endpoint
You will need to build a Login flow which is described in the Get Started guide https://developers.facebook.com/docs/instagram-basic-display-api/getting-started
https://developers.facebook.com/docs/instagram-basic-display-api/reference/user/media