This what I got from watching them live...

(CAPO on 2nd fret)

Intro/Verse:

  D   D/C#m  Bm             E
E--33--33----000--|       |----------------|
B--33--33----111--|       |-3-3-3-3--------|
G--00--00----222--|       |-0-0-0-0--------|
D------------222--|       |-4-4-4-4--------|
A-3---2------000--|       |-5-5-5-5--------|
E-----------------| X7    |-5-5-5-5--------|


Chorus:
   A   Bm    D    E
E--------------------|       
B-3-3--1-1--1-1--3-3-|       
G-4-4--2-2--0-0--0-0-|       
D-5-5--2-2--2-2--4-4-|      
A-5-5--0-0--3-3--5-5-|       
E-----------3-3--5-5-| 


Verse 1:
D D/C Bm        D      D/C      Bm
I saw lightning coming from the street
D   D/C  Bm         D       D/C      Bm
You were trembling, hearing your heartbeat
D      D/C Bm            D        D/C    Bm
Leaned in closer, let me kiss you on the cheek
D       D/C    Bm      E
Singing to you softly, singing to you sweet


Chorus:
A       Bm                D           E      
I wanna care for you when you are all alone
A      Bm                D              E 
Sit inside our house and unplug all our phones
A        Bm                    D           E 
Watching raindrops stream down on our windowsill
Bm
Let's be in love


Verse 2: (same chord as first verse)

Take a walk, take me in your hands

Hear the wind blow, pretend we're in Japan

I saw lightning, coming from the street

You reached out and it didn't startle me


Chorus:
A       Bm                D           E     
I wanna care for you when you are all alone
A      Bm                D              E 
Sit inside our house and unplug all our phones
A        Bm                    D           E 
Watching raindrops stream down on our windowsill
Bm
Let's be in love

(End on A)