Vast improvement on the original song, from what is otherwise a great album. I suggest you play all these
either barre A or E; with a capo it sounds rather odd

INTRO 

F# C# Bb F (w/occasional slide up to D# after the C#)

Last line of verse 

F# C# C F (listen for it just before solo/chorus bit, there is a definite change in tone)

Chorus/Solo bit

D# C# Bb F

Repeat this when there isnt singing and the elctronics are doing there bit; and when Eliza Doolittle
sings swap back to the F# progression. 
I dont think this is perfect so any changes please be suggested below. Cheers