I lived in an area like this for a while with my young daughter. I was terrified someone would do something when we were out walking or sitting in the park. Because when you're by yourself you can run or ignore them...but if it's my daughter's life in question I would fight. And fight viciously, to do serious bodily harm. Not something I would want my daughter to have to witness, even if both of us got out of the situation unharmed.
I completely understand your reaction to them demanding the bike though. The only time I was mugged a group of three guys came up to me and asked for a smoke. I gave them two, but they wanted a third. I said no, you guys can share those, have a good night, and tried to walk away. They followed me and demanded the whole pack. I was really insulted...I mean...I just gave them two cigarettes and now they want them all? Push came to shove and I had to defend myself. Two of them went down and the third ran for his life, and I chased him.
I hate how situations like that bring out the bad in me. The anger, rage, violence...
I now live in a bit better part of the city, although there is a sort of half-way house near where I live. I see a lot of alcoholics and parolees. None even look at me, thankfully. We don't have too much of a problem with gangs in my city. That said, I still want to move to a rural location as soon as possible. Concrete jungles can crush a man's spirit like nothing else.
Don't carry a weapon, please, I beg you. Just having a weapon like that can infect you with harmful intent. Even if it's just for defensive purpose. Your best defense is to run, and with a bike you're in a pretty good position to do so.
Pulled and kneaded like salt water taffy.
Interconnecting peoploids, like tinker toy ferris wheels, rotating counterclockwise for eternity.