We have moved twice to Dubai. The 1st time with 2 kids, the 2nd time with 3 kids.
Each time, we havent had any problems. Children tend to be more adaptable than adults, when it comes to change.

By moving here, our children have been exposed to a culture they would never have been if still athome. We have all embraced the culture here, and love it.
We prefer the older areas of Dubai and other emirates rather than the "new" areas...)

Living here, means we are so central to a lot of places to travel to.
Coming from Oz meant that everywhere was such long flights (excep NZ !!)
We have been able to take the children to the England, Scotland, Europe, other ME countries and India.

If coming here for a short time, make sure you get out and about and try something different each Fri.
(go for a drive through old Dubai, drive to each emirate and explore it, take up arabic lessons, go to the Sheihk Zayed Grand Mosque in AD...etc etc)

We have enjoyed our time here, but it is make you make of it.
(I think that also you realise it can take a looong time to settle in, then you will be OK..its normal to have doubts, even for the whole of the 1st year !!!)