For doing this transcribing it is more easy to think off the numeral steps instead of chords and then find the key and fill in the chords like I-IV-V-I and then let's say the key is A then the chords would be A-D-E-A. If I listen to a song I always try to figyre out the steps off the chords by numbers.
But hey, find a more difficult song then this one, these rock pop songs from the 60's and 70ties are almost all the same easy progressions, what about the next on; Poppa Chuby - Nobody loves you when you're down and out, that is one to break your teeth on.
Herman