The expat information to Prague should be of help to you. It has section on all aspects of being an expat, including childcare.

"The local town hall will usually have a list of facilities. Parents can also find them in the yellow pages under "jesle". Here a few listings for child care facilities, but do your own research to find the right place for you and your child.

Bumble Bee
Provide care for this age group as well as for older babies and toddlers. Address: Praha 5, Trojdilna 18

Dino
Preschool. Open 08:00-18:00, Closed weekends
Address: Praha 4, Babakova 2149

International Montessori School
For 3-6 year olds. Open 08:30-15:00, Closed on weekends.
Address: Praha 4, Hrudickova 2107

The Little Prince
For 2-6 year olds. Open 07:30-18:00, Closed weekends.
Praha 4, Severovychodni IV/25"