Anything I need to know to stay safe?

The title is worded bad but since I am getting close to my trip and I am traveling alone as a female is there anything I should know to stay safe? I will be mostly in the french quarter. I will probably go to the st.louis cemetery. I know not to go in any poorly light areas. Dont look like a tourist. And stay aware of my surroundings.

Anything else you recommend? (Trip is around xmas.)