Intro:

E|----------------------------------|
B|----------------------------------|
G|------8---------------------------|
D|----8---8--------------5-------8--|
A|--6------------------5---5---8----|
E|----------8-10-8-6-3-------6------|

I'm not completely sure about how the higher part in the verse goes but the progression 
this:

E|--1--2--4--4--|
B|--1--2--4--4--|
G|--1--2--4--4--|
D|--3--4--6--6--|
A|--3--4--6--6--|
E|--1--2--4--4--|

You can play on the higher strings in the gaps between the chords.

If you find it difficult to bar the chords then you can play this instead which sounds fine:

E|--------------|
B|--------------|
G|--------------|
D|--3--4--6--6--|
A|--3--4--6--6--|
E|--1--2--4--4--|

I'm not completely sure about the higher notes in the chorus either, but it's like this:

E|-----------------------------------|
B|-----------------------------------|
G|-----------------------------------|
D|--6-6-6-6-7-6-9-6-6-6-6-6-6-6-5-6--|
A|--6-6-6-6-7-6-9-6-6-6-6-6-6-6-5-6--|
E|--4-4-4-4-5-4-7-4-4-4-4-4-4-4-3-4--|

And if you want to bar that bit it would look like this:

E|--4-4-4-4-5-4-7-4-4-4-4-4-4-4-3-4--|
B|--4-4-4-4-5-4-7-4-4-4-4-4-4-4-3-4--|
G|--4-4-4-4-5-4-7-4-4-4-4-4-4-4-3-4--|
D|--6-6-6-6-7-6-9-6-6-6-6-6-6-6-5-6--|
A|--6-6-6-6-7-6-9-6-6-6-6-6-6-6-5-6--|
E|--4-4-4-4-5-4-7-4-4-4-4-4-4-4-3-4--|