No matter where you live, be smart with being safe.
..and your budget is a big deal...especially in this neighbourhood.
Depending where you are along Royal is very important. This area is a series of little neighbourhoods within neighbourhoods..an eclectic culture of its own.
Like many other port cities anywhere in the world there are all kinds of people traversing at all times of dy and night. Moving here would not be unwise...but the secret to finding a place you will love in New Orleans is to drive the neighbourhoods at night..walk in the afternoon when folks are out on their front porch and hear what they have to say.
Go in the morning driveby, park for aminute, observe
Go In the evening after dark, scope that out. You should get a pretty good feel of it after a few visits.
There are so many spots that are hit or miss, one block beautiful, one block filthy. You just have to do your research and eventually make you choice.
Good luck and let me know if you need anything