The safety question is an interesting one, in so far as it’s manifest horseshit to say that black cabs are safe, but Ubers are not. Nothing in life is perfectly safe. In the Spectator today, it’s pointed out that in 2015/16 32 accusations of sexual assault were made against Uber drivers. (This rose to 48 in the year to Feb 2017). Meanwhile around the same period 126 black cab drivers were charged with such a violent or sexual offense.
For what it’s worth, there are reckoned to be 23,000 back cabs in London today, vs 40,000 Ubers, the latter being used by 3.5M passengers in London.
I’ll not vouch for the numbers but if they’re true…..