Hi LawNick,
You have a strong candidacy. Your GMAT score will be below the mean for top programs, although they will take into account your country of origin. As an example, a German girl will not be expected to have the same verbal score on the GMAT as someone who was raised in California.
If you do believe you can improve your score by 30-40+ points, you may want to consider taking the test again. Your GMAT score is self-reported on your application, so admissions teams will only focus on your highest score.
With your legal background, admissions teams will want to know why you are pursuing an additional degree, and your reasoning will need to be very clear. You can turn this into a positive, however it will depend on your personal essays and letters of recommendations.
You should move to the London office if that is an opportunity you are interested in; you should not move solely to appeal to an admissions team.
Hope this was of help.
Best,
Conrad and the
Stacy Blackman Team