I would say your offer is good. Since you have a small family to look after, you will survive in Doha.

Cost of 1 bedroom (Unfurnished/ semi furnished) is between - QR.4,000/- to 6,000/- per month
and for 2 bedroom (unfurnished/semi fur) is between 7000/- 10,000 per month.

Indian/ Pakistani and Arab schools are affordable here.

Cost of food 10 -15% higher then in Dubai, which should not be a problem.

In short, social life is slow here so no much spending, also not Salik/ No Parking fine or any other hidden fine like Dubai :-) you will be able to save some money end of the day !