The center charges to use the tennis courts but I am not familiar with the prices. They have a smoothie shop inside as well. Public showers are available if you wish to clean up after your workout.
Recently moved to Austin, have not been there for a while but the last year the showers were $0.75
$6 for 1.5 hours per court as of January 2022. Free parking available on the street but could also pay $1 for paid parking in the lot attached to the tennis center
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