I would recommend deciding what you want from your career.
Manchester is excellent, but the classes are large, however it has RICS accreditation.
Reading is very good, good reputation in this area, same applies to Loughborough.
UCL and Leeds not sure about sorry, I think Leeds is very engineering focused, I did not know ucl offered construction management.
My advice is look at the professional accreditations, the RICS accreditation is what uk employers want.