Akas-inn Hotel Apartments can be booked online via agoda or booking.com. The room is gigantic and clean with its own balcony/safe/flat screen tv/3 tables/5 chairs. The studio room I booked has a kichenette with 2 electric burners, a microwave, a fridge, a sink, and kitchen utensils/plates, etc. It's pretty awesome! The shower's is terrific (hot and great water pressure). Wifi is free and it works fine most of the time! Burj al arab, the sailboat hotel, is visible from the roof-top pool which is not heated. It's probably warm enough to swim in during the day but it's kind of chilly at night in December. the outdoor hot tub is nice though. The staff are very friendly and helpful.
It's off of the main street so it's pretty quiet although some traffic noise/other guests can be heard at times. From the Mall of the Emirates, take the exit near Ski Dubai (Kempinski Hotel). Turn left and walk straight towards all the hotels. When you see Holiday Inn, turn left and go straight for a short block. You'll see the hotel on your left hand side. It's less than 10 minutes on foot from the mall. Sharaf metro station is slightly closer than the Mall of the Emirates station.
By taxi from the hotel, it's about 50-60 AED to Global Village (30 minutes) and about 26 AED to Atlantis The Palm. It costs less than 15 AED to Madinat Souk Jumeirah by taxi. There's a subway downstairs.