St. Louis has a lovely Metro system that runs from the Airport to the Chase Park Plaza as well. The Metro station is approximately a 15 minute walk to the hotel. The station is south of the Chase Park Plaza.
Taking the Metro from the airport is about 22 minutes and costs $2.50 USD. There are kiosks on the platform for electronic payments. Coming from the airport you will look for Eastbound Red line trains with the signage “Shilo-Scott”. You will take the train to the Central West End station.
Coming from the Chase Park Plaza, you would take the West Bound Red line train marked “Lambert Airport’.