This what I got from watching them live...

(CAPO on 2nd fret)

Intro/Verse:

D (xx0232@1) D/C#m  Bm (x24432@1)           EE--33--33----000--| (022100@1)      |----------------|
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 (x02220@1) Bm (x24432@1)  D (xx0232@1)  EE--------------------| (022100@1)      
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 (xx0232@1)name="chord_x30232@1">D/C Bm (x24432@1)      D (xx0232@1)    D/C (x30232@1)    BmI (x24432@1)saw lightning coming from the street
D (xx0232@1) D/C (x30232@1)Bm (x24432@1)       D (xx0232@1)     D/C (x30232@1)    BmYou (x24432@1)were trembling, hearing your heartbeat
D (xx0232@1)    D/C (x30232@1)name="chord_x24432@1">Bm            D (xx0232@1)      D/C (x30232@1)  BmLeaned (x24432@1)in closer, let me kiss you on the cheek
D (xx0232@1)     D/C (x30232@1)  Bm (x24432@1)    ESinging (022100@1)to you softly, singing to you sweet

Chorus:
A (x02220@1)     Bm (x24432@1)              D (xx0232@1)         E (022100@1)    
I wanna care for you when you are all alone
A (x02220@1)    Bm (x24432@1)              D (xx0232@1)            E (022100@1)Sit inside our house and unplug all our phones
A (x02220@1)      Bm (x24432@1)                  D (xx0232@1)         E (022100@1)Watching raindrops stream down on our windowsill
BmLet's (x24432@1)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 (x02220@1)     Bm (x24432@1)              D (xx0232@1)         E (022100@1)   
I wanna care for you when you are all alone
A (x02220@1)    Bm (x24432@1)              D (xx0232@1)            E (022100@1)Sit inside our house and unplug all our phones
A (x02220@1)      Bm (x24432@1)                  D (xx0232@1)         E (022100@1)Watching raindrops stream down on our windowsill
BmLet's (x24432@1)be in love

(End on A)