I would suspect there will be lots of package deals advertised nearer the summer next year. Hotels always drop their rates in Dubai over the summer as the temperatures are about 50 degrees (I live in Dubai and usually escape for part of the summer if I can).
I am curious why you would come here in the summer if you were bored in Texas in the summer? ... it will be much the same here with regards to going to malls, etc.
Saying that the roads will be quieter and it will be much easier/faster to get around. There is a large selection of indoor malls. Dubai Mall has an icerink, aquarium and discovery centre, play centre, hundreds of shops and restaurants. Mall of the Emirates has a small ski hill.
The sea/ocean will be too hot to enjoy but the pools are chilled, and you can use them in the early morning/late afternoon &evening.
Nice places to stay are the Jumeriah chain of hotels, they have a website. They are expensive. It depends on your budget.
If you want to stay near the Burj Dubai (tallest building in world) and the Dubai Mall then there are a few hotels in that area. The Address, The Palace Hotel ...