There are two versions I play this song:
1) Using 1 downstroke for the whole chord and 2 upstrokes just on the bottom 
string for each chord. In this case I play "Dm Am E Am" as shown below
2) Using the palm to mute after each chord, and substituting every first "Am" with 
a fast "Dm Am" and every secon "Am" with a fast "E Am". This way every line has 
"Dm - - Dm Am - - - E - - E Am"

Intro:
Dm Am E Am x4

.::Verse::.
           Dm      Am               E               Am   
I took the perfect avenue, down the road to both of you
         Dm     Am            E      Am          
Did I go dutch?   This is too much!
             Dm             Am             E             Am
With all the money in the world, you could never buy this girl
      Dm    Am           E      Am
Quite enough, it will be tough
   Dm                Am       E                   Am
If romancing me with neons is something you should do
        Dm               Am           E [hold]       
May the letters write in luminous, in-lou

.::Chorus::.
           Dm         Am           E         Am
And get me wicked up, shake it up, tangled up
             Dm           Am         E         Am
You could be breaking up, making up, tangled up
             Dm         Am        E         Am
You can?t be faking it, Making it from my love
              Dm       Am           E        Am
With all this tragedy, don?t get me tangled up

Dm Am E Am x2

.::Verse::.
        Dm              Am               E                  Am
I can?t separate your sins, to me you?re acting like you?re twins
          Dm   Am          E     Am
This is a mess,  is this a test?
         Dm            Am           E                Am
How many guesses do I get till only one of you is left?
                 Dm   Am              E    Am
You?re quite the same,  if love?s the gain
  Dm           Am       E             Am
I want to see emotions coloring the sky
       Dm            Am            E [hold]
to the point it will make me wanna cry

.::Chorus::.
           Dm         Am           E        Am
And get me wicked up, shake it up, tangled up
             Dm           Am         E        Am
You could be breaking up, making up, tangled up
             Dm         Am        E        Am
You can?t be faking it, Making it from my love
              Dm       Am           E        Am
With all this tragedy, don?t get me tangled up

Dm Am E Am x2

.::Bridge::.
Am                    E          Em                  Dm
Treating girls like a yo-yo is a no no of monumental kind
   Am                           E            
If playing with your string happens to be your thing
     Em                             E
It?s easy to say to both, oh never mind

.::Chorus::.
           Dm         Am           E        Am
And get me wicked up, shake it up, tangled up
             Dm           Am         E        Am
You could be breaking up, making up, tangled up
             Dm         Am        E        Am
You can?t be faking it, Making it from my love
              Dm       Am           E        Am
With all this tragedy, don?t get me tangled up

.::Ending::.
Dm Am E       Am
      Tangled up x3