Yeah, that's the thing with jazz tunes. There are tons of versions of any given song, all with their own phrasing, chord substitutions, keys, etc.
But for what it's worth, here are the chords that are in the Real Book. They have it in F minor (which happens to also be the Bill Evans/Tony Bennett key, although I think Bill is using different chords in spots). The chord names probably won't line up exactly with the lyrics, depending on how the singer is phrasing them in the version you're used to hearing. Use your ears to sort it all out.
Code:
Fm7 Db9 C7(b9)
You don't know what love is
Fm6 Gm7 C7(b9) Db7
Until you learn the meaning of the blues
Bb7 Gm7(b5) C7(b9) Fm7 Ab7
Until you've lost a love you had to lose
Db7 Gm7(b5) C7(b9)
You don't know what love is
[Next three lines are the same as the first three…]
You don't know how lips hurt
Until you've kissed and had to pay the cost
Until you've flipped your heart and you have lost
Db7 C7(b9) Fm6
You don't know what love is
Bbm7 Eb7 Ab(maj7) F7(b9)
Do you know how a lost heart fears
Bbm7 Eb7 Ab(maj7)
The thought of reminiscing
Dm7 G7 C(maj7)
And how lips that taste the tears
Db9(#11) C7(b9)
Lose their taste for kissing
[Last A section same as second A section]
You don't know how hearts burn
For love that cannot live yet never dies
Until you've faced each dawn with sleepless eyes
You don't know what love is
[If you're repeating the form, you can use Gm7(b5) to C7(b9) for the turnaround]
Now some of these are pretty hairy chords.
I would have to really sit down and work out how to play them on the uke myself.
In a pinch, you can always simplify them and just play the first part of the chord--up to the "number". So an Fm6 would just be Fm. Db9(#11) would just be Db, on so on.
And you can always play just a 7th chord instead of a 9th or b9th or b9(#11), etc. It won't sound as "rich", but it won't be wrong (just incomplete).
JJ