Every chord chart in the world is a diagram of a keyboard — so here's the keyboard itself. Pick, look, listen, then go play it on the piano.
If you're starting: C major, G major, A minor, F major — in that order, in the key of C, those four chords play a truly embarrassing share of popular music. Learn their shapes with the viewer above, practice switching between them slowly, and the learn mode's songs will start making structural sense. Sevenths and the jazzy qualities can wait; the pop machine runs on triads.