Kindercity is 12 minutes away by taxi from Zurich International Airport.
Please note that the taxi's are very expensive in Switzerland. The costs from the airport to Kindercity would be 50 to 60.- EUR.
Kindercity can be reached with public transportation (30 min):
From Zurich Airport trainstation take the S-Bahn, S2 to Effretikon, then take the bus 720 to stop "Zimikon", and from there you walk 200 meters on foot.
From the Zurich airport trainstation IR train to Oerlikon, then the S-Bahn S14 or S9 to Schwerzenbach and then take the bus 726 to the first stop, "Volkiland, Chliriet".