If taking a short break, look at destinations that are within a 4 hours flight time from Dubai such as The Maldives, Seychelles, Mauritius and Greece. There are many options at these destinations for both time alone or with the family.
Asia represents excellent value for money, in particular destinations such as Singapore, Malaysia, Bali and Thailand. These are great for family holidays.
Travel lightly if you intend to buy items to bring back home, airlines can be strict on weight allowances.
It is advisable to arrange a private car transfer from the airport to your hotel, this may cost a little more but you will avoid long waits at a strange airport waiting for a coach transfer.
If going to a destination for the first time, a guide book such as the Luxe City Guides can be a good investment to make the most of your stay.