Officer Allen: We're looking for the man with the hands.
Kim: Hold me.
Edward: I can't.
Jim: I'd give my left nut to see that again.
Edward: Kevin, you wanna play scissors, paper, stone again?
Kevin: No!
Edward: Why not?
Kevin: 'Cause it's boring. I always win!
Jim: Forget about holding her hand, man. Think about the damage he could do to other places.
Peg Boggs: The light concealing cream goes on first. Then you blend, and blend, and blend. Blending is the secret.





Answer: Because wanted to go with her, but they both realised it could never work out, like the story of Beauty and the Beast, except Edward couldn't turn into a handsome prince.
My brief fantasy is that Kim and Edward could hide their relationship until the "hype" died down, then move far away and find a doctor to "help" Edward - give him prosthetic hands. Mostly for disguise; not to "fix" him. However, the ending of the movie suggests that he does not age, so there would still be a problem when Kim grew older and died.