'Sturdy' but cute shoes for travel?

So I'm going to take a trip to Mexico City in August. I was looking up info on other people's experiences there and someone said the streets can be a bit rough and sturdy shoes are recommended.

I ideally don't want to bring a whole lot of stuff, and I would like to find one sturdy pair of shoes (maybe quality sandals?) that I can wear walking during the day, in dresses or jeans, and at night if I go out to dinner somewhere. I have a pair of BOC sandals that are super comfy, but I worry that the straps might be a bit flimsy. I'll probably bring a pair of sneakers in case they're necessary, but I don't want to wear jeans the entire trip.

Anyone have any suggestions? Certain types of shoes to look for? Is a sandal the wrong choice?