With the total package offered, you won't save anything. A modest 2 bedroom where expats from the US can live could be at least QR 15K. Add the education of your children and other things, what could be left with you?
Demand at least 60K... It is also nice if you travel alone and weigh things out, your family can follow later. Meanwhile, you can take this opportunity to explore because in Qatar, if you have not done your finger print our in the process of getting, you can explore other opportunity.