University accommodation
Unfortunately uni accommodation is very expensive (upwards of £55 per night) and limited to single rooms. There are plenty of B&Bs in York where you can find much cheaper prices, so I’d suggest you try to book there first.
Bed and Breakfasts
There are plenty of B&Bs and hotels in York that you can browse online. You can use this search tool to find accommodation near the university:
Here are some quick links of places near the uni:
Chelmsford Place Guest House- http://www.chelmsfordplace.co.uk/
Ashbourne House York- http://www.ashbournehouseyork.co.uk/
York Priory- priory-guest-house-hotel-york.com
Moorgath- hotels22.com
Barbican House- http://www.barbicanhouse.co.uk/
Four Poster Lodge- http://www.fourposterlodge.co.uk/
Air BnB a great service (and a bit cheaper than other accommodation) for those who are happy to rent a room in a private home. It’s a bit like Couch Surfing but tends to be nicer rooms with families/ young professionals. There are many nice and affordable places to stay in York, you can browse here.