Emirates Airlines is the airline and Dnata is the handling agent side of the Emirates group.
In essence it is the same company and so all pay and conditions are identical between the two, as is all HR related stuff.
The two are however very separate companies on the ground.
Dnata does all the ground handling in Dubai with the exception of check-in and dispatch functions for emirates.
Emirates dispatchers handle emirates flights and Dnata dispatchers handle everything else.
If you were single then I would say that you could be reasonably comfortable living in Dubai on a dispatcher pay (grade EK7) but with your family you will find it very difficult.
Schools are expensive and below grade EK8 you do not get any subsidies off the company.
A married couple could survive but don't do it to your kids.