Have been to Dubai. It's OK though I prefer Oman. No offence to you Emirati ladies.
The Malls however are spotless. And ladies don't worry about someone stealing your bags and so on. It doesn't happen. That was the one thing I found 'hard' to get used to; not asking my friend to look after my bag when I got up lol.
Personally I love the gorgeous Abayas there but if you don't wear them, this recommendation is useless.
Oh and I loved seeing all the jewellery stores, the Gold Souk and eating in all those spotless Malls/food courts. I would visit again God-willing as I have a friend living there but I would first like to visit Oman again.
Oh and if you like seeing men immacutely dressed, then there's also the bonus of Khaleeji men