Where to apply in London for Politics and IR?

Hi, I'm applying for Politics and IR and I'm still deciding on where I want to apply. Outside of London I've settled on Bristol and Exeter, but in London it's between LSE, UCL, Kings ( History and IR) and SOAS. I want LSE as my aspirational choice, while for SOAS although its general reputation and entry requirements (ABB) are much lower than the others, I was still attracted by the regional modules on the PIR course and its more non-Western focus. I'm really deciding between SOAS and UCL due to their proximity (both in Bloomsbury), KCL's War Studies Department also has a good reputation so I'm keen on applying there.

For reference my predicted grades are A*AA (Politics, History, Economics) and my GCSEs are 999887776.