Hi, I'm Korean Librarian.
My undergraduate major is Library and Information Sceince. And I've MLIS by Korea univ.
I'm working Special Library now.
But I want to live UK.
And I want to work Librarian.
How to work Librarian at UK.
Sorry to my English.
Thanks to read.
I would advice you to look at CILIP's (former British Library Association) website. https://www.cilip.org.uk/
There is a whole section on how to start a library career in the UK under the Careers-section. There is also information on qualifications needed in the UK. Good luck with your job search!