I just clear space in my house, move entire tables/furniture if you have to. I have the same problem, I don't want anyone staring at me while I'm working out, I don't have a yard of any kind, can't go to the gym, and I have ZERO space or home equipment. Lol
You just gotta try to make it work girl! Good luck!
Work with what space you have and do invest in fav hobby like hiking, biking , tennis, Dvd's workout video, wii games like active or just dance , anything you can do for fun can be less workout and #morefun . Your young people who should be outdoorsy not in closed confined space like jail .