don't worry, this looks tough, but it really isn't. a few of the chords you only use 
just listen to the song from the movie and you should be able to get it down.
feel free to comment, but nothing vulgar please. i know there are different ways to play 
chord, but this is the easiest way for me, personally.

Chords:

F#-  2443xx
D#m- x6887x
B-   7998xx
A?-  6986xx
Fm-  1331xx
A#-  6887xx
C#m- x4665x
E-   x79997
C#-  x4666x
B-   x2444x
A#m- x1332x
F- x 8 10 10 9 x


intro is just the F# chord seperated like this:
(most of the chords in the song will be seperated like this,
 exception will have these *, in which case you play the chord straight)

E---------------------------|
B---------------------------|
G------3-3------3-3---------|
D------4-4------4-4---------|
A----4---4----4---4---------|
E--2-----2--2-----2---------|

F#   D#m    B            A?
Moon River, wider than a mile,

    B               A?         Fm    A#
I'm crossing you in style some day.

    D#m   C#m        D#m   E
Oh, dream maker, you heart breaker,

    D#m        *D#m  *C#    *C#  *B       
  *A#m
Wherever you're go - ing I'm go - ing your way.

F#  D#m      B              A?
Two drifters off to see the world.

        B             A?       Fm     A#
There's such a lot of world to see.

      D#m  C#m     D#m   E           A?
We're af - ter the same    rainbow's end

B                    A?
  Waiting 'round the bend,

B                A?
  My huckleberry friend,

D#m  F         F#
Moon River and me.


on that last F# you play all of the notes in the chord. well, that's it! i hope this 
for you! have fun tootsie roolin'!