I watched the TV serials How I Met Your Mother. And the phrase came out when Robin said,
"What? I mean, I don't hate kids.
I'm-I'm just not a kid person.
I mean, yeah, it's cute that their shoes are real little, but beyond that, what's the draw?
You must think I'm nuts."
I've google the phrase but the best result I had it's this yahoo answer: https://answers.yahoo.com/question/index?qid=20110721200654AALrS17, which I don't think quite fit in here.
Best Answer
One meaning of the word "draw" is to pull in various directions, as in a horse-drawn carriage, i.e, one pulled along by a horse. Or consider that a chimney sweep will tell you that
That is, a chimney will pull up air from the fireplace room and out of the house even when there's no fire lit.
In a figurative sense, if the meaning is pull towards, then the person feeling the force of the pull will feel an attraction. Thus from Terry Brooks' The Elf Queen of Shannara:
Two choices, each with its own attraction. And that's the meaning of the sitcom line, "What's the draw?" namely, "What's the attraction of having children around?"