I don't think there are many permanently based in the city centre, there are always e few tourers and York is a massive tourist spot so there are plenty of hotels and holiday lets centrally, however, York is really quite compact and there are plenty of taxis at the station that easily get you anywhere in the city in 15 minutes, Megan and Lou are well reviewed and are easy to get to, maybe a 20 minute walk from the station, Kay a hot Milf is out in the suburbs 10 minutes in a cab (I'm bit short of time to get the links but they're all on AW)