In my Facebook account, where can I find these application IDs, secret key, all?
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You should use the Developer App.
On the right is a section titled "My Applications" from which you can select an application to see its information.
You can also go straight here as well, which will list your apps on the left.
It is under Account -> Application Settings, click on your application's profile, then go to Edit Application.
Peter's post is pretty much spot on, but if you want to learn how to navigate to it yourself here are the instructions:
On the left hand menu, you need to click "more", then you'll see "Developer", click on it. Afterwards you'll be presented with a page where your apps are listed under "My Applications" click on "See my applications". You can find all your API Key, secrets, and IDs there.
Make a Facebook app with these simple steps I have written below:
Dashboard -> [your app] -> [View Details] -> Settings -> Basic
From 2018:
Go to Settings -> Basic -> App Secret
(type your password and you're ready to go).
Source: Stackoverflow.com