I believe this issue might be a headache for many students. After all, without being in the UK and familiar with the situation, you need to book your accommodation in advance.
If you're feeling lost, why not give us a chance? Perhaps we can find a very comfortable home for you.
We have student dormitories, social apartments (popular apartments, superior geographical locations, high-end apartments), and of course, very cost-effective apartments.
We have all types of units, there should be what you want: Studio, 1B1B, 2B2B, 3B3B.
If you have any questions, feel free to consult with me!