I transcribed chords for I'll Never Fall in Love Again by Burt Bachrach this weekend and transposed it to F, which is the most vocal-friendly key on the Uke for me. As it happens, the recording that Elvis Costello made for Austin Powers 2 is also in the key of F so I am now able to sing along with Elvis.

Amazon.com: I'll Never Fall In Love Again: Burt Bacharach & Elvis Costello: MP3 Downloads

Chords

To avoid explicit notation of time, I use a convention of 8 beats per line. The grouped sections are [4 beats] each.

Vamp: intro and after chorus

F         Bb       # this should be FMa7 and BbMa7 but triads will do

Verse and Chorus

F         Dm 
Bb        
Am7       D7       # can sub Am for Am7 if the fingering is hard
Bb       [Bb C7]
Bb7       F
[Bb C7]  [F Bb] 
-> [vamp]

Bridge

[Gm7 C7]  F 
[Gm7 C7]  F
 Am
 G        C7       # use [C7: Bb-E-G-C] instead of open C7

Lyrics

What do you get when you fall in love?
A guy with a pin to burst your bubble
That's what you get for all your trouble
I'll never fall in love again
I'll never fall in love again

What do you get when you kiss a girl?
You get enough germs to catch pneumonia
After you do, she'll never phone ya
I'll never fall in love again... Oh
I'll never fall in love again?

[bridge 1]
Don't tell me what it's all about
'cause I've been there and I'm glad I'm out
Out of those chains, those chains that bind you
That is why I'm here to remind you

What do you get when you give your heart?
You get it all broken up and battered
That's what you get, a heart that's shattered
I'll never fall in love again... Oh
I'll never fall in love again

[bridge 2: solo]
...
...
Out of those chains, those chains that bind you
That is why I'm here to remind you

What do you get when you fall in love?
You only get lies and pain and sorrow
So far at least until tomorrow
I'll never fall in love again
I'll never fall in love again 

[outro]
I'll never fall in love again