Lol tbh, the uni you attend won't make a difference. In the eyes of an employer, unless you are from somewhere like oxbridge, a UK law degree is a UK law degree, be it from LSE, Queens or Cardiff.
It all just boils down to your english (there are law students who have atrocious english), soft skills and critical thinking. Most law graduates nowadays are lacking in at least one of these aspects.
A UK degree isn't as prestigious as it used to be. Reason being, they are admitting people who just meet the bare entry requirements as they want their fees.
If you are open to studying locally, I would definitely recommend doing STPM, and trying for IPTA law programs, or doing MMU foundation and aiming for MMU Law. Exemption from CLP (a lot of foreign law grads are struggling to pass), and easier to build connections with local law firms for chambering or internships. Quite a lot of foreign law grads are finding it hard to get a chambering/pupilage post after they grad, and they end up doing something unrelated to law and end up not being called to the bar after years of studying law, which imo, is quite a waste.
Granted, there are foreign law graduates who make it. But an increasing proportion aren't, and studying law, or basically anything, in UK is a huge investment. A foreign law degree (unless its from oxbridge), doesn't really improve your chances of landing a job in a top law firm compared to local grads, and some of the smaller firms may be hesitant to take in a foreign grad as foreign grads usually have higher expectations.
Source: I applied for law school not too long ago and was thinking about a career in law, and what I have written is based on what I researched or seen.
Thanks for ur info.
I am thinking of further developing my career in UK in the future, so I think that having a UK degree will grant more advantage compare to others.