The Ullrich Suite is three short blocks east of the city's most frequently served transit line, 70 Grand.
The Grand bus line offers direct connection to Metrolink, which serves Lambert Airport, Busch Stadium, and a number of other St. Louis destinations.
Coming from Lambert Airport: Take Metrolink to the Grand Station (this is a 25-minute ride). Use the elevator or stairs to go up to Grand Boulevard, and stand at the southbound stop. Take the next 70-Grand bus just under one-and-a-half miles south to Shenandoah Avenue. If you ask the bus driver, he or she will let you know when you reach your stop.
Walk across Grand Boulevard at Shenandoah (there is a traffic light), and continue east for three short blocks to the Ullrich Suite.
Here is a link to Metro St. Louis.
Pro Tip #1: For real-time transit info in St. Louis and more than 100 other cities, download Transit App on your smart phone. Authorize a credit or debit card on your Transit App and you'll be able to buy fares in St. Louis. If you are traveling in on Metrolink from Lambert Airport, you will pay the local fare, not the airport fare.
Pro Tip #2: Another useful resource is the transit feature on Google Maps.