All areas of Doha
are safe and relatively nice. There are literally thousands of compounds to choose from (just have to find one with an opening in your budget range)
My advice is to find out where in town your office is located. Where in town are your children going to go to school (have they already been accepted?) Pick a compound that is close by these two places. Traffic here is incredibly chaotic and it can take an hour to get across town during rush hour.
Answer where your office/school is and we can narrow it down for you. Do you know what your housing allowance is?