You can fingerpick all along the song:
   Am              G                 Em              F
e|-----------0---------------------|---------------------------------|
B|-1-------1---1---0-------0-------|-0-------0h1-3---1-------1-------|
G|-----2---------------0-------0---|-----0---------------2-------2---|
D|---------------------------------|---------------------------------|
A|-0-------------------------------|---------------------------------|
E|-----------------3---------------|-0---------------1---------------|


[Intro]
Am   G   Em   F

[Verse 1]
Am              G
  This night is cold in the kingdom
Em               F
  I can feel you fade away
Am                        G
  From the kitchen to the bathroom sink and
Em                F
  Your steps keep me awake


[Pre-Chorus]
      Am                         G
Don't cut me down, throw me out, leave me here to waste
  Em                  F
I once was a man with dignity and grace
        Am                                  G
Now I'm slipping through the cracks of your cold embrace
   Em            F
So please, please


[Chorus]
          Am                        G
Could you find a way to let me down slowly?
         Em                        F
A little sympathy, I hope you can show me
       Am                       G
If you wanna go then I'll be so lonely
          Em                        F
If you're leaving baby let me down slowly

             Am
Let me down, down, let me down, down
G                         Em                       F
Let me down, let me down, down, let me down, down, let me down
       Am                       G
If you wanna go then I'll be so lonely
          Em                        F
If you're leaving baby let me down slowly


[Verse 2]
Am                   G
  Cold skin, drag my feet on the tile
Em                        F
  As I'm walking down the corridor
Am                      G
  And I know we haven't talked in a while
Em                      F
  So I'm looking for an open door


[Pre-Chorus]
      Am                         G
Don't cut me down, throw me out, leave me here to waste
  Em                  F
I once was a man with dignity and grace
        Am                                  G
Now I'm slipping through the cracks of your cold embrace
   Em            F
So please, please


[Chorus]
          Am                        G
Could you find a way to let me down slowly?
         Em                        F
A little sympathy, I hope you can show me
       Am                       G
If you wanna go then I'll be so lonely
         Em                        F
If you're leaving baby let me down slowly

             Am
Let me down, down, let me down, down
G                         Em                       F
Let me down, let me down, down, let me down, down, let me down
       Am                       G
If you wanna go then I'll be so lonely
          Em                        F
If you're leaving baby let me down slowly


[Bridge]
            Am               G       Em F
And I can't stop myself from falling do-own
            Am               G       Em F
And I can't stop myself from falling down
            Am               G       Em F
And I can't stop myself from falling do-own
            Am               G       Em F
And I can't stop myself from falling down


[Chorus]
          Am                        G
Could you find a way to let me down slowly?
         Em                        F
A little sympathy, I hope you can show me
       Am                       G
If you wanna go then I'll be so lonely
          Em                        F
If you're leaving baby let me down slowly

             Am
Let me down, down, let me down, down
G                         Em                       F
Let me down, let me down, down, let me down, down, let me down
       Am                       G
If you wanna go then I'll be so lonely
          Em                        F
If you're leaving baby let me down slowly
       Am                       G
If you wanna go then I'll be so lonely
          Em                        N.C.
If you're leaving baby let me down slowly