Nice place with a convenient location
We stayed at the Hyatt Regency for two nights in November. The hotel is well maintained and the rooms are nice, comfortable and well appointed. The in room amenities (soap, etc.) are very good quality, which is always nice. The hotel also features a roof swimming pool, spa, fitness room, shops, restaurant and bar. 
The best feature of this hotel is its convenient location right along the river walk and is practically across the street from the Alamo. We definitely did not need our rental car to get around the area, and if you want to go to the areas further away from the hotel like the Mexican Market, you can walk or take the tourist trolley.
Our only complaints about the hotel was that the wifi was not complimentary. You had to pay $9.99 or higher (depending on the quality of the connection) per day to use. It is understandable paying for a higher connection quality, but it would have been nice for the basic wifi (email and basic browsing) to have been complimentary as it is at so many other hotels.