Pedro The Lion - Lullaby chords

As an amateur/novice guitar player, when I try to pick and sing at the same
time, I always screw it up, so I decided to figure out how to play one of my
favorite songs with chords, and none of that pesky picking. Although I still
pick out the into/outro.

Verse:
    C              Am
The sun shines and leaves blow 
       F                   G
And my hope like autumn is turning brown
C          Am             F               G
I know it seems like I'm always falling down 

Prechorus:
        Am               F
But it does not matter to me
             C              G 
Although it seems like it should
       Em               Am         F                  G
It's because I know I'm understood when I hear Him say
[ Tab from: http://www.guitaretab.com/p/pedro-the-lion/348288.html ]
Chorus:
           C      G
Rest in me little David
    Am           Em
And dry all your tears
         F            C 
You can lay down your armor
    F        G
And have no fear
      Am         F
Cause I'm always here
            C        G 
When you're tired of running
     F          G                 C
And I'm all the strength that you need 

Second verse: (same as the first)
It's uphill both ways 
Tomorrow I swear I won't act this way 
And I know it seems like that is what I always say 

(Prechorus)
(Chorus)

Outro: (I like to bar these)
C    C/B
    Am                     G
You know I want to be like Jesus
        Dm           F
But it seems so very far away 
C            Em       G
When will I learn to obey
 F
Obey

It may not be 100% spot on, so feel free to comment or make corrections.
(This is my first submission, so be gentle.)