Looks like you made your choice! I will definitely go back to the Conrad Dubai on our next trip there. It's a city hotel with great Exec lounge and great service. It's fairly close to the Dubai Mall and Burj Khalifa Tower. Just be aware that at weekends from Thursday through Saturday, the pool area gets very busy. We ate at the Marco Pierre White Grill in the hotel one night and enjoyed the meal there.
On our last stay at the Hilton Dubai Jumeirah, we found that the beach and pool seemed to be overcrowded and we put it down to the fact that all the guests in the recently opened Hilton Dubai Walk were able to use the hotel facilities. Think on our next visit, we may try the new Doubletree Jumeirah Beach hotel for a couple of nights.