Reliable and Safe Airport Taxi Services in Edmonton. Airport Taxi Service is a customer oriented taxi service dedicated to the Edmonton International Airport. We are a locally owned and operated company providing flat rates, an express service to and from the airport, as well as the best customer service experience for our passengers. Airport Taxi Service is available 24 hour, 7 days a week and is a dependable and reliable taxi service. In order to use our airport taxi in Edmonton, you may either make your booking online, download our app or give us a call. All fare estimates can be found online on our website..