From the Durham university college webpage:
'Within the Castle walls we have around 100 rooms, mostly in the Keep, but also in Garden Stairs, Hall Stairs, Fellows' Garden, the Junction and the Norman Gallery. Most rooms within the Castle walls are occupied by final year students, but some of the shared rooms are occupied by first year undergraduates.'
'We offer self-catered accommodation for postgraduate students at New Kepier Court. We offer studio flats and apartments with shared kitchens. All rooms are en suite.'
New Kepier court is a bit of a trek, trust me. Also, it is not that great either. You may be better off going to Ustinov college.