This is my own version of the song.

Capo 3rd fret

Intro tab - finger picked

     Dm      G       C     G/B   Am
|--------1---3-3-----------------------0--------|
|------3-3-3-3---3---1-1---0-0---1-1-----1---1--|
|----2-------0-----0-0---0-0---0-2---2-----2----|  
|--0--------------------------------------------|
|--------------------3-----2-----0--------------|
|-----------------------------------------------|
     Dm      G       C     G/B   Am
|--------1---3-3--------------------------------|
|------3-3-3-3---3---1-1---0-0---1--------------|
|----2-------0-----0-0---0-0---0-2--------------|  
|--0--------------------------------------------|
|--------------------3-----2-----0--------------|
|-----------------------------------------------|


I tend to carry this pattern through the whole song with slight variation in the chorus, 
singing the lyrics over and around it and varying it however you like!
It sounds just as good strummed though, just try to go with the rhythm of the song.
Here's the chords to help with timing.

          Dm                  G
We get it on most every night
            C      G/B      Am
when that moon is big and bright
             Dm            G
its a supernatural delight
           C       G/B         Am
everybody's dancing in the moonlight

Fill: Dm G C G/B Am

            Dm                G
everybody here is out of sight
            C       G/B        Am
they dont bark and they dont bite
                   Dm               G
they keep things loose they keep it tight
            C       G/B        Am
everybodys dancing in the moonlight


   Dm           G
dancing in the moonlight
              C      G/B      Am
everybodys feeling warm and bright
           Dm             G
its such a fine and natural sight
             C      G/B       Am
everybodys dancing in the moonlight

Fill: Dm G C G/B Am

           Dm                G
we like our fun and we never fight
         C         G/B      Am
you cant dance and stay uptight
          Dm            G
its a supernatural delight
               C        G/B      Am
everybody was dancing in the moonlight

   Dm           G
dancing in the moonlight
              C      G/B      Am
everybodys feeling warm and bright
           Dm             G
its such a fine and natural sight
             C      G/B       Am
everybodys dancing in the moonlight

Fill: Dm G C G/B Am 

          Dm                  G
We get it on most every night
            C      G/B      Am
when that moon is big and bright
             Dm            G
its a supernatural delight
           C       G/B         Am
everybody's dancing in the moonlight

  Dm           G
dancing in the moonlight
              C      G/B      Am
everybodys feeling warm and bright
           Dm             G
its such a fine and natural sight
             C      G/B       Am
everybodys dancing in the moonlight