None of the other chords seemed to be actually right for this song (although they 
did sound good, just not right.)
So I did it myself! :) I think this is pretty much what he plays.

The first half of the first verse has some cute little chords like:

G (320003@1)  Bm (x24432@1)A (x02220@1)           
E|-----|---|----|          As far as I can tell, but they 
B|--3--|-3-|-3--|          sound good as normal chords and
G|--2--|-2-|-2--|          as bar chords as well. Take your
D|--0--|-0-|-2--|          pick! 
A|--0--|-2-|-0--|
E|--3--|---|-0--|

D (xx0232@1)                    
She's reinventing loving me
          G (320003@1)                       BmWhen (x24432@1)we're resembling cutlery on the sofa
                         AIt (x02220@1)must have been about 5.01
       GLike (320003@1)my blue ripped jeans
       D (xx0232@1)  
And my eyes are closed and I'm way too tired
GHoody (320003@1)still smells of the beach bonfire
      BmOn (x24432@1)the sofa, where we lay
A (x02220@1)               G (320003@1) I wanna stay inside all day

Em (022000@1)    G (320003@1)       D (xx0232@1)     AAnd (x02220@1)it's cold outside, again
          Em (022000@1)    GAnd (320003@1)we're both so high

Bm (x24432@1)               G (320003@1)          D (xx0232@1)       DWe (xx0232@1)could fly to Berlin, Tokyo or Jamaica
        Bm (x24432@1)            
We can go where you want
           G (320003@1)                D (xx0232@1)        
Say the word and I'll take ya
D (xx0232@1)                         Bm (x24432@1)name="chord_x02220@1">A G (320003@1)
But I'd rather stay on the so-----fa
         Bm (x24432@1)name="chord_x02220@1">A G (320003@1)           DOn (xx0232@1)the so------fa, with you

D (xx0232@1) When the morning comes
GWe're (320003@1)not watching Formula I
BmIt's (x24432@1)not what we breathe for
A (x02220@1)                      GSo (320003@1)kick off the day with Friends on T4
D (xx0232@1)  Two, boiled and brew
GTwo (320003@1)sugars ain't too sweet for you
Bm (x24432@1)On the sofa, where we lay
A (x02220@1)             GI (320003@1)wanna stay inside all day

Em (022000@1)    G (320003@1)       D (xx0232@1)      AAnd (x02220@1)it's cold outside, again
         Em (022000@1)        GAnd (320003@1)we're still so high



Bm (x24432@1)               G (320003@1)          D (xx0232@1)       DWe (xx0232@1)could fly to Berlin, Tokyo or Jamaica
        Bm (x24432@1)            
We can go where you want
           G (320003@1)                D (xx0232@1)        
Say the word and I'll take ya
D (xx0232@1)                          Bm (x24432@1)name="chord_x02220@1">A G (320003@1)
But I'd rather stay on the so-----fa
         Bm (x24432@1)name="chord_x02220@1">A G (320003@1)           GOn (320003@1)the so------fa, with you

G (320003@1)              A (x02220@1)       Bm (x24432@1)     D (xx0232@1)And it feels like I'm flying
G (320003@1)           A (x02220@1)And it feels like
        Bm (x24432@1)            G (320003@1)            D (xx0232@1)    DWe (xx0232@1)could go to Berlin, Tokyo or Jamaica
           Bm (x24432@1)                 
Through the streets of New York
             G (320003@1)              D (xx0232@1)         DThat (xx0232@1)is where I will take ya
       Bm (x24432@1)         
Paris, Rome, to Rio
         G (320003@1)               D (xx0232@1)         DPassing (xx0232@1)through Las Vegas
       Bm (x24432@1)         
We can go where you want
        G (320003@1)                  D (xx0232@1)          
Say the word, and I'll take ya
D (xx0232@1)                          Bm (x24432@1)name="chord_x02220@1">A GBut (320003@1)I'd rather stay on the so------fa
         Bm (x24432@1)name="chord_x02220@1">A GOn (320003@1)the so------fa
         Bm (x24432@1)name="chord_x02220@1">A G (320003@1)         DOn (xx0232@1)the so------fa, with you