Here's a simplified version of the chords in F. I'm not sure how simple you'd like it. Omit the optionals if it's too hard. On the other hand all the Gm would be better as Gm7 if you can do that, and you might want to use 7ths in places of some of the root chords I've shown (F7 instead of F) at the end of lines especially

Mick

  (F)I got a heart that's broken hearted, how can I mend it? (optional:F7)
  (Bb)I got a crying jag you started, how can I (Bbm)end it?
  But (F)if you're feeling gloomy, (Gm)come a-running (optional:C#7)to me,
  (F)Meet me where they play the (C7)blues.
    

into bridge:(C7)play the(F)blues
    (F7)Eyes that (Gm)flirt with a (D7)tear, or (Gm)come on round (D7)here    And (F)misery loves (Gm)company, they (F)say.
    Though they (G7)linger til dawn while the trumpet wails on
    (Gm)Hoping you'll happen this (C7)way.