WHAT ARE THE BEST BITS OF THE UAE ?

There are 7 Emirates in the UAE, Abu Dhabi being the capital, but at the moment Dubai is more recognized as an all round holiday destination. What you do in Dubai is really weather dependent, so in the cooler months wander around Bur Dubai, Meena Bazaar, Bastakiya and take a trip on the Dubai Ferry. You could also see the Miracle Garden. Save the beaches, pearl museum, malls and eating indoors for when it's hotter. Realistically that's from the end of April till around the beginning of October.
Abu Dhabi has some great entertainment venues and luxury hotels and it isn't a long drive from Dubai. A must see is the Abu Dhabi Grand Mosque.
Al Ain is quite a green emirate and has some well known water parks.
Sharjah is very close to Dubai and has a growing cultural scene. It is more traditional than Dubai though. It has a very good wildlife park.
Um Al Qwain has a good water park and Fujeirah has long been known as a week end getaway destination, although Ras Al Khaimah is much nearer to Dubai and has the fabulous Waldorf Astoria that you must stay at!