You need to read up on international schools in Canton Zurich. If you have a permanent job, and not a temp contract I believe your child can't attend an international school unless it's bi-lingual.
SIS run a bilingual school in Zurich. Not sure of the area. It has a mixed reputation in Basel. My son attends an International Bilingual school and at Primarschule level it is 1900 chf a month (3 days till 4pm, 2 days till midday). All school fees can be found on private school websites under admissions.
For an idea of accommodation and more importantly taxes required (everyone pays a different tax depending on the canton, and area within the canton - Zurich is quite a low tax rate) look on www.comparis.ch. It has property for rent and you can enter earnings and lifestyle info to work out the cheapest tax area and how much you will pay based on salary.
A lot of my team members live in Zürich and pay about 2000chf/month for a 1 bed apartment - near the lake is exorbitant. Keep in mind apartments have restrictions which are quite strict in Zürich I hear! 
Kindergeld is approx 200 chf a month for my son, I'm not sure if it decreases with more kids. It barely feeds him.
Swiss schools have great pupil to teacher ratios and give Auslander children extra tuition in German on certain afternoons.
Other stealth costs to bear in mind:
Billag (tv license equivalent) 400 chf per year
Insurance as mentioned for health - but bear in mind that you have excess and also you pay 10% of every bill per person up to 700chf.
You need personal liability insurance - look on Comparis.
Cost of B permits per person (I think they charge annually for newcomers now)
Internet/TV/phone provider - look up Sunrise.ch & Swisscom.ch
Electricity - I pay around 150chf a month
Heating - our house uses recycled wood pellets for underfloor and hot water which costs approx 1200chf a year
Nebenkosten - maintenance charges on property, water etc. Usually included on property details.
Not exhaustive - English Forum Switzerland Is you best bet. Please don't post "can I live on 150k" or "how much do I need" topics as there are plenty on there and you'll find the very sharp edge of some posters. (they are a pedantic bunch indeed!)