Although the Emirates have a very low crime rate, it always pays to play safe. Take whatever precautions you would need to in order to keep yourself and your belongings safe.
Do not speak to strangers. And definitely do not accept drinks from them at any nightclub, restaurant, hotel or bar.Also make sure your drink is never left unattended.
Do not speak to random women off the street and nor should you take their photos, however attractive they may seem. This will be considered as sexual harrassment and can make one liable to a heavy fine or a prison term.
Stay away from pornography and erotic material at all costs as such websites or any form of media is banned throughout the Emirates. Prohibited items include drugs and firearms.