Short answer
SMT,
Doha is not a place for kids, full stop.
I've lived in the UAE for many years and my kids had a great time there with many activities. In Doha, I live by myself while my family is back in our home country. An interesting statistic; out of 10 families in my department with school aged children, 6 of the families choose to have the wife and kids live in their home country.
There is little/nothing to do in Doha, your kids will be bored stiff unless they love playing X-Box all day.
IMO, unless you need the job you're offered (legitimate concern) I would pass on this one.