There are several options for getting to Hot Springs from the Little Rock Airport. One is to get the shuttle service. Here is the phone number to a reservation shuttle. 501 376-7433 Here is the website to make a reservation - intercitytransportation.com. Langston Carter offers private shuttle service to/from Hot Springs to the Airport. He is very professional. His contact is 702.884.7329 The Village Chauffeur – Where you Want … When you Want! Uber and Taxis are also options. Spa City Taxi is the taxi service for our area. The contact is 501.623.0200. Unfortunately, Hot Springs is on the smaller side of things when it comes to transportation options.