Remember that despite the cosmopolitan almost secular air of Dubai, UAE is a Muslim country. You can get away with a lot; they are very tolerant but they can be pushed too far and you won't know when the crash will come.
So we do see the odd drunk on the streets and occasionally they get arrested. And slung in jail. And deported... but often they just get looked at with disgust.
You can, in Dubai but not elsewhere, often get away with wearing scandalous clothing but you will embarrass your hosts and as above you may occasionally be on the receiving end of sanctions.
Our currency is pegged to the dollar. Make the conversion in your head and it's a real price. In the malls you can pay in dollars too. Everything is negotiable. Even in the malls. It's just that in the malls the range is a lot smaller.
If you are with your spouse public displays of affection are not really appreciated. This is Arab and Indian culture and not religious. And don't forget men hold hands - they are NOT gay. Don't stare.
Shake hands with all the men you are introduced to EVERY TIME you meet them. but don't make the first offer to shake hands with a woman. If she's comfortable (and many are) she will make the first offer.
Don't be afraid of talking to local people in the cafes. Emiratis are a small minority in their own country and are often thought of as being hard to approach. Nothing could be further from the truth and most are very accommodating and love to talk about their culture and country and help you learn.
Hospitality is key to their culture so expect to be offered coffee or dates or even lunch. Accept graciously.
Don't try to mangle Arabic if you don't speak it. You'll learn phrases from the wrong dialect and just embarrass yourself. EVERYONE speaks English - many better than you and me.