Much depends on what type of job or training scheme you have in mind to seek after you finish university. In many fields, employers will not be much or at all bothered by which university you studied at, provided that you present as a competitive candidate for whichever job or training scheme you apply for.
If, however, you'd like to work in, for example, a well known think tank, lobbying, or polling firm, a noted media organisation, an investment bank, a big management consultancy, a large law firm, a leading set of barristers' chambers, or the fast track in the Civil Service, a degree from some universities might not be of great assistance.
This might be so even if the organisations you apply to recruit university-blind, because you would be competing against candidates from well known universities who have acquired skills and attributes which may assist them in getting through competitive selection processes, which you might not acquire to the same extent at some universities.
I appreciate that money is a big issue, and that reducing university costs where possible is a good idea, but if you are unsure about the university and have the chance to study somewhere else, which appeals to you on grounds other than low accommodation costs, perhaps consider whether you can somehow make that affordable.
Good luck!