We are going to Austin for three nights starting December 7th. We will be flying in and will not have a car. I am looking for a central hotel where we can walk everywhere and we can take an uber to the LBJ museum. The hotels all seem a bit pricey. Any ideas for hotels in the $200/night range. I have looked at the Omni and the the Hyatt Place Downtown. Which one would be preferable? My husband needs to have a fitness room when we travel. Thanks for any help. Any interesting suggestions during December would be appreciated also.