I hope this helps.About 90 percent of what you are telling us is your family acting like your family (and like a ka-billion other families who always think they know best for everyone else in the family) and the rest could be concern for you being gay (someone might hurt you, you might get sick, etc.).
Your grammie is probably indulging in a fantasy that you'll come keep her company and be a child for her to fuss over again. I view what she is doing is expressing love for you and a bit of loneliness for herself.
That negative "danger, danger, bad, bad, doom, gloom" stuff is what you have to let roll off your back. People who have never lived in a big city may very well view it as a dangerous place. Your family may also think you are somehow rejecting
them by your choices (forget the fact that you're an individual entitled to make decisions about
your own life). I'd suggest nodding and reassuring them you're careful ("I'd only choose the safer neighborhood to work in, Mom"). You probably cannot change their ideas about 'ghettos' or their fears about other races, but as you feel it necessary you can insert what you see as the truth: "Not all mixed neighborhoods are ghettos...etc." or just let most of it roll off your back: "You worry too much, Mom. I'm an adult and you taught me what I need to know to get along with others..." that sort of thing. Some "I love you" applied liberally also helps.
Enjoy the city. I live in a big city. It has its share of danger (which I wouldn't mention to worried relatives) and a big dose of weird and a lot of people all marching around to their own drummers (I include myself here). I love it but I'm going to be glad to retire to a quieter life (when I am about a hundred and eleven and can retire).