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 (xx0231@1)    Am (x02210@1)             E (022100@1)             Am (x02210@1) 
I took the perfect avenue, down the road to both of you
         Dm (xx0231@1)   Am (x02210@1)          E (022100@1)    Am (x02210@1)        
Did I go dutch?   This is too much!
             Dm (xx0231@1)           Am (x02210@1)           E (022100@1)           AmWith (x02210@1)all the money in the world, you could never buy this girl
      Dm (xx0231@1)  Am (x02210@1)         E (022100@1)    AmQuite (x02210@1)enough, it will be tough
   Dm (xx0231@1)              Am (x02210@1)     E (022100@1)                 AmIf (x02210@1)romancing me with neons is something you should do
        Dm (xx0231@1)             Am (x02210@1)         E[hold] (022100@1)      
May the letters write in luminous, in-lou

.::Chorus::.
           Dm (xx0231@1)       Am (x02210@1)         E (022100@1)       AmAnd (x02210@1)get me wicked up, shake it up, tangled up
             Dm (xx0231@1)         Am (x02210@1)       E (022100@1)       AmYou (x02210@1)could be breaking up, making up, tangled up
             Dm (xx0231@1)       Am (x02210@1)      E (022100@1)       AmYou (x02210@1)can't be faking it, Making it from my love
              Dm (xx0231@1)     Am (x02210@1)         E (022100@1)      AmWith (x02210@1)all this tragedy, don't get me tangled up

Dm Am E Am x2

.::Verse::.
        Dm (xx0231@1)            Am (x02210@1)             E (022100@1)                AmI (x02210@1)can't separate your sins, to me you're acting like you're twins
          Dm (xx0231@1) Am (x02210@1)        E (022100@1)   AmThis (x02210@1)is a mess,  is this a test?
         Dm (xx0231@1)          Am (x02210@1)         E (022100@1)              AmHow (x02210@1)many guesses do I get till only one of you is left?
                 Dm (xx0231@1) Am (x02210@1)            E (022100@1)  AmYou're (x02210@1)quite the same,  if love's the gain
  Dm (xx0231@1)         Am (x02210@1)     E (022100@1)           AmI (x02210@1)want to see emotions coloring the sky
       Dm (xx0231@1)          Am (x02210@1)          E[hold] (022100@1)to the point it will make me wanna cry

.::Chorus::.
           Dm (xx0231@1)       Am (x02210@1)         E (022100@1)      AmAnd (x02210@1)get me wicked up, shake it up, tangled up
             Dm (xx0231@1)         Am (x02210@1)       E (022100@1)      AmYou (x02210@1)could be breaking up, making up, tangled up
             Dm (xx0231@1)       Am (x02210@1)      E (022100@1)      AmYou (x02210@1)can't be faking it, Making it from my love
              Dm (xx0231@1)     Am (x02210@1)         E (022100@1)      AmWith (x02210@1)all this tragedy, don't get me tangled up

Dm Am E Am x2

.::Bridge::.
Am (x02210@1)                  E (022100@1)        Em (022000@1)                DmTreating (xx0231@1)girls like a yo-yo is a no no of monumental kind
   Am (x02210@1)                         E (022100@1)          
If playing with your string happens to be your thing
     Em (022000@1)                           EIt's (022100@1)easy to say to both, oh never mind

.::Chorus::.
           Dm (xx0231@1)       Am (x02210@1)         E (022100@1)      AmAnd (x02210@1)get me wicked up, shake it up, tangled up
             Dm (xx0231@1)         Am (x02210@1)       E (022100@1)      AmYou (x02210@1)could be breaking up, making up, tangled up
             Dm (xx0231@1)       Am (x02210@1)      E (022100@1)      AmYou (x02210@1)can't be faking it, Making it from my love
              Dm (xx0231@1)     Am (x02210@1)         E (022100@1)      AmWith (x02210@1)all this tragedy, don't get me tangled up

.::Ending::.
DmAm E (022100@1)     Am (x02210@1)     Tangled up x3