Self-catered v Catered is practically a personal choice up to you. It won't have much of an effect on anything else but the layout of your first year (e.g. more of a flat vibe in self-catered v boarding school vibes in catered).
All catered accommodation is on UP campus and self-catered Broadgate Park is literally across the road (e.g. completely negligible distance). So if you prefer self-catered don't be put off that it looks further away.
In terms of the difference between the Catered halls, there isn't really. Everyone will think the one they want to is best and you only get minimal influence over which one anyway (you can only put a preference for an area not a hall). You may prefer the halls close to the sports centre if you are quite active or you might prefer north zone if you want to be closer to the STEM area on campus, what I'm getting at is it doesn't really matter too much.
Other considerations may be room type, mainly ensuite v shared bathroom. But ensuites arent that common in catered halls so if you definitely want one then go for a studio in Broadgate Park.
The only thing I would say from a biased opinion is to stay away from Beeston hall if you can. It isn't very nice and was thrown up extremely quickly after the Uni let it too many students and didn't have anywhere to put them. Your time won't be bad in Beeston Hall anyway, it's just not my cup of tea.
If you do have any specific questions I am happy to answer if I can.