On a map of Dubai city you will see dozens of districts, the main ones being Bur Dubai, Deira and Jumeirah. There are five major districts in total.
But still, as you can see from the map of Dubai with hotels, it's better to navigate not by district, but by region, of which there are nine.
Be sure to get a Russian-language map of Dubai before your trip and mark the hotel you've booked.
Which neighborhood of Dubai to stay in? Consider Jumeirah Beach, home to half a dozen luxury hotels, including the famous Burj Al Arab, a sailboat hotel.