Me I leave it up to the parents. Personnally, I would rather have the parents first, to discuss about all the details, see if we get along, if we share the same values in raising kids. Then, if we like each other, I would meet the kid.

So far, all the parents chose to bring their kids!

And I never sign the day of the visit. So they can call back, email for any other questions that they didn't ask!