Master in Finance or MFE in UK/USA

Hello there, I am here currently doing my bachelors in CS in arguably the best continental European university but what really exists me is traditional finance (IB/PE/...) and thus I wanted to come do a masters either at top UK universities or top US ones. 

I am considering Imperial, LSE, LBS (needs work exp I don't have), Oxbridge, Columbia, NYU, MIT or HEC. 

Now I was wondering how possible would it be to get into those with stem background and which ones offer a good employability at the end. Also I doubt I will be able to get an internship in finance before I start, would that matter ( I actively work in student VC and also as working student but in tech). 

Forgive me for not having much knowledge yet I am actively searching since only few days