MSc
PB,
Both these degrees are good. Of course they will not improve your handling ability, but they will improve your ability to reason and analyse.
The Project or Thesis is at least half of the work and is the bit where you can demonstrate your own particular angle so it is worth giving considerable thought to what you can write that would help the industry and that you would find totally absorbing for six months or so, before you even start.
Of course an MSc will help you if you want to go into management, not least because it shows that you are self motivated and willing to work hard. If you can get a Merit or Distinction, even better. Another advantage is that if you should be unfortunate enough to lose your medical you will find having a Master's opens doors.
You also get to work and socialise with a great bunch of guys so you make a lot of friends and get connections in the industry for years to come.
Since you ask I did mine at City.