Life here is better than Saudi, just because it is more normal for both genders. Very few things you can't buy, sports events etc are going on often. You are not locked into a compound every night, lots (??) of eating places.

Rents for 3 BR villa, QR12,000 in a compound would be normal. Schools should be no problem except they are full and getting in might be a problem. Kind of depends on school, grade, test scores, etc.

Your package will determine in the move is worth it. Life style is more open than Saudi, so you can have the gulf living with a few (some) western or EU benefits.