Firstly, congratulations on getting an offer from LSE. I received an offer from LSE but chose not to accept it because I received a scholarship from the University of Nottingham, UK. Also, I got to know that LSE's course is not accredited by the British Psychological Society (BPS). Since, I am interested in applying for chartership, I thought that going for an accredited course would be wiser. Having said that, if you are not interested in chartership and want to gain knowledge in psychology then accepting an offer from LSE would be a good decision.
I hope my answer was a bit helpful.
All the best!
-Jasmeet Singh