You might want to postpone your arrival here after August. Summer here is so....boring and unbearable for kids. The school won't start until September 19 so you have plenty of time to look for school and apartment.

Addition to above mentioned schools, check out Cedars, Canadian, Compass international schools as well. Google and check out their websites for more info. Try www.google.com.qa instead of general. I find it more useful.

Ain Khaled, Beverly Hill or Al Fardan Gardens are kids friendly neighborhoods.

Good Luck