From my very short experience in China (just under 2 months) the cities feel super safe (excluding terrible driving). But this is just an anecdote, naturally.

My Chinese friends generally also feel safer in China than in the Western EU. What I noticed in Chengdu and Shenzhen, literally everyone walks with their nose glued to a smartphone (very frequently iPhone). Apparently robberies are not a common thing.

OTOH I've heard pick-pocketing is quite common in Beijing and Shanghai.