I tried to get the chords as accurate as possible.. so here you go :)
And I wasn't 100% on the names of the chords so I just put them below
♪ Capo 7/8 
It's a bit tricky to get the hang of but it's easier if you listen to how he plays it
The asterisk next to some of the F chords just means play it as a barre chord
The chords in brackets are sort of transition chords that are only played quickly

      C     G      Am7     F          

e|----0-----0-------0-------0----------------------------------------------|
B|----1-----0-------1-------1----------------------------------------------|
G|----0-----0-------0-------2----------------------------------------------|
D|----2-----0-------2-------3----------------------------------------------|
A|----3-----2-------0-------0----------------------------------------------|
E|----0-----3-------0-------0----------------------------------------------|

(Verse)

C                     (G)  C                                  
Five drinks in, a Friday night 
                   G
we only came to dry your eyes
Am7          F             C (G) C
And get you out of your room
C                      (G) C
Now this bars closed its doors
                  G
I found my hand just holding yours
Am7         F             C
Do you wanna go home so soon

(Pre chorus)

G                               F *        C
Maybe we should take a ride through the night
      G            Am7
Sing along to every song 
               F *    C               G
Thats on the radio in the back of the taxi cab in brooklyn oh no no
F*          C        G                   Am7
Sun could rise burning all the streetlamps out at 3am
F *     C        G
So dj play it again


(Chorus)

           C            F  Am7             G          
Until the night turns into morning You'll be in my 
C          F           Am7  G
arms and we'll keep driving along the boulevard
C        F           Am7    G
And if i kiss you darling, please dont be alarmed
F *           G                        C
Its just the start of everything if you want
F  C          G     (C)     G
New love in New York     New York

(Verse)
[ new_york ]
C             (G)  C                            
Yesterday gave me a call
              G 
Stressing out about it all 
Am7     F                     C (G) C
Said The world is moving too fast 
C                     (G) C
You don't know where to begin 
                              G
cos you spent a lifetime fitting in
Am7         F              C    G      
Please Don't wind up on the other side by yourself 

(Pre chorus)

 F *              C              G            Am7             
And There'll be days screaming out to all the people that you 
F               C                 G            
used to know from your window that looks upon the manhattan skyline
F*           C             G                         Am7
Its just the way that life goes And you hear it in every song you know
F *     C        G
So dj play it again


(Chorus)

           C            F  Am7             G          
Until the night turns into morning Youll be in my 
C          F           Am7  G
arms and we'll keep driving along the boulevard
C        F           Am7    G
And if i kiss you darling, please dont be alarmed
F *           G                        C
Its just the start of everything if you want
F  C          G     (C)     
New love in New York  

(Bridge)

             F *      C            G        Am7
And every song that plays is just like the day you had 
F *    C         G               Am7
its okay to cry when i'm saying maybe that 
  F*            C             G     Am7
It's a waste of all you know i'm here for you 
F                       G
back of the taxi cab tonight In new york

(Chorus)

C        F            Am7          G  
Its just reached the morning And you're still in my 
C       F           Am7       G
arms so we stopped driving down the boulevard 
C      F      Am7                 G
And i just kissed you darling, i hope you wernt alarmed
F *           G                        C
Its just the start of everything if you want      

    F  C       G  Am7
A new love in New York 
    F  C
A new life 
      G        C
in  New York.