DC101,
Have you checked out Kurt's care sheet on them? He recommends misting them once a day in the evening. As far as breeding them? If you're fortunate enough to get a male and female, being difficult to sex, with a proper environment set up for them, I don't think that you would have a problem with nature taking it's course.
Frog Forum - White's Tree Frog Care - Litoria caerulea