Okay, i live in Dubai and have done for the last 4 years, the rental market here in the UAE is booming and it means rents are rising. My husband and i have recently moved and am paying AED90k a year for a 2 bedroom flat in Dubai, the best place near to the airport in Abu Dhabi is Khalifa City, good western expatriate area.
Have a look on the following websites
http://www.gulfnews.com - go to the classifids and look under property.
http://www.myu.ae/ - real estate co - one of the better ones.
Be prepared to me messed around, finding a property here is a nightmare