Does the uni even matter?

Hey guys, international student (Irish citizen, no visa restrictions) here, I'm planning on doing a masters in the UK with hopes to end up in tier 2 consulting/MM or LMM IB. I've narrowed it down to Msc Accounting & Finance in either Durham, Bristol, Nottingham and Kings (realistically not getting into better unis), I understand that these are all semi-targets so is there even much of a distinction with regards to future career outcome, I have a slight preference to Bristol because of the city but if the others offer better career prospects, I'm happy to opt for them. Any advice on the matter would be greatly appreciated.