UCLA staff and student have a priority access to the UCLA day-care.
As far as I know, there are three of them :
the day-care in Franz Hall, on campus, is for babies until 3 years of age.
The day-care at University village (on sepulveda blvd) has two preschool (from 2 to 5), one is a standard school, the other one is a co-operative school. The c o-op school is called UPNS : http://www.bol.ucla.edu/~upns/ [1]
My daughter goes to UPNS, and we all love this place.
cheers
Fabienne
Links:
[1] http://www.bol.ucla.edu/~upns/
[2] http://www.postdoc.ucla.edu/node/360