United Arab Emirates is the most interesting country I have visited. All my trips were for business purpose, but I extended my each trip to a week, so I had a chance to do almost everything I could do in a country.
Most people just stop for a night for their transfer flight. I mean they first fly to Dubai or Abu-dhabi, stay there a night and then continue their journey to their target location. You may do it, but you should also plan a trip only for UAE too.
There can be very strict rules in daily life such as no alcohol drinking in public places, existence of woman passenger areas in public transportation, no drinking or eating in Ramadan anywhere during day hours. But at the same time, this is one of the countries where you really experience freedom.