Durham Taxi Numbers, Excellent taxi service for RDU transportation, yesterday I used this service and the driver was nice and cool. Call 0191 580 4145 for a low cost, fast response taxi service. Durham, NC 27705. . To book a taxi with Durham City Taxis, the phone number is 01207 772088. Local taxi services and airport transfers from Durham are available with Durham City Taxis. Taxis If you are travelling in Durham there is no better way than by Taxi, leaving you to relax and enjoy the stunning scenery that Durham offers. Knights Taxi Service. Durham, NC 27707. Taxis in Durham on YP. qi, c0x5, mmv7, 7gb, cz, m0cb, ap9, z7gs, zja, au,