The hotels I've read about are:
LaQuinta at the Airport
Cambria Suites Dania
Hampton Inn Plantation
Holiday Inn Hollywood
Just note that you will need shuttle/taxi service to and from these hotels. None of these will be more than $20, each way, for taxi.
The Hyatt Place is the best choice IF they still allow you to leave your car. It is in a great location and close to restaurants, shopping and grocery.