The hotel has a restaurant and bars, but you are likely to wish to explore the many of the excellent facilities in the city.
York has over 170 restaurants as well as cafes and over 350 pubs, many of which provide food. A very large number of these are within walking distance of the hotel. You will find British cuisine, but also many restaurants are ethnic to varying degrees.
If you wish to see the range, explore the city's Eating and Drinking web site. There is also one small but dynamic brewery in the city, located not far from the Moat House hotel.