The park is just steps away from the DART light rail Akard Station. All four rail lines (blue, green, red, and orange) stop at Akard Station.
If you're driving, and coming on a weekend, you may find street parking. There's a convenient parking lot on Ross between Market St and Lamar. It's just across the street from West End Station, so you can either ride the train for one stop or walk the short distance to the park.
Parking can be challenging in downtown during the week. I find the lot at the 6th Floor Museum to be pretty accessible. Walk from there to the park or walk to West End Station and ride the DART rail (any line) for one stop.