I'm a novice guitar player, but these chords all sounded right. They may not be placed 
precisely in the lyrics where they're supposed to be, but they're very close at the 
worst. You can figure where they go by ear when playing anyways.

RIP Rilo Kiley. Or better yet come back from the dead.

Just in case I got the chord names wrong:
Cmaj7: 032000 (it may be x32000 actually)
C7: 032310 (x32310?)
Fm: 133111

Intro (yes the entirety of the first 1:47 intro is C)
C (x32010@1)C (x32010@1)            Cmaj7I (x32000@1)should have known
        C7 (x32310@1)                                FWith (133211@1)a boy like you, your middle name is always
      Fm (133111@1)              CI'd (x32010@1)always love you-oooh
       G (320003@1)   C (x32010@1) GUh-huhuh, (320003@1)yeah

C (x32010@1)          Cmaj7You (x32000@1)let the needle drop
C7 (x32310@1)                               FI (133211@1)think that you could do so much better
          FmThose (133111@1)conventions are taking
       C (x32010@1)        G (320003@1) C (x32010@1) GTheir (320003@1)toll on you

FThe (133211@1)phantom
GIs (320003@1)disguised
     CIt's (x32010@1)horrifyin'
Cmaj7 (x32000@1)           C7Right (x32310@1)before your eyes
      FThe (133211@1)phantom
GIs (320003@1)inside

C (x32010@1)           Cmaj7And (x32000@1)I should have known
        C7 (x32310@1)                              FWith (133211@1)a boy like you your middle name is always
      Fm (133111@1)             CI'd (x32010@1)always want you-oooh
      G (320003@1)   C (x32010@1) GUh-huhuh (320003@1)yeah

FThe (133211@1)phantom
GIs (320003@1)disguised
      CIt's (x32010@1)horrifyin'
Cmaj7 (x32000@1)           C7Right (x32310@1)before your eyes
     FThe (133211@1)phantom
GIs (320003@1)inside
      CIt's (x32010@1)hideous
Cmaj7 (x32000@1)           C7Right (x32310@1)before your eyes
     FThe (133211@1)phantom
    GIs (320003@1)watching
C      Cmaj7    C7 (Am works fine too, but 
C7 makes more sense)
You---------------
    FThe (133211@1)phantom
             FmIs (133111@1)watching you
       C(You)... (x32010@1)