Two separate rooms required for 2 months

I am actively looking for two rooms for me and my friend in the same apartment. It can be a single apartment with two bedrooms with common facilities and kitchen or it could be a houseshare with two rooms available. We are both students (1 male, 1 female) aged 25 - 26 both non-smokers with no pets. If possible we want to live near the University of Manchester. Our tenure is from 20th Oct to 20th Dec, 2026.
Our budget is £850 per person per month.