I will keep it very brief, answering your question/s with suggestions and a picture or 2.
You asked for some of the "Best Area" to stay in Dubai. Palm Jumeira is the absolute best of what Dubai can offer right now.

If you meant "Best Hotel" to stay in Dubai. I will probably recommend you to look at:
a. "Kempinski @ Palm Jumeira",

b. Grosvenor Hotels in Marina,

c. Kempinski, Mall of Emirates,

and ofcourse, the absolute jewel of Dubai, Atlantis The Palm Resort.



Good luck with your exploring.