I have a bit of a problem

So, I need to exercise more (as I am overweight, and it makes me really self cautious) but I'm too afraid of people seeing me, if that makes sense. I'm a teenager. I live in the top floor in an apartment and I can't jump around because that makes noises for the person downstairs, and I'm too afraid of people seeing me outside exercising. I don't know why, I'm just freaking out at the thought of people watching me running around outside. That actually prevents me from doing a lot of things, being afraid of judgement. 
I don't really know what to do in this situation, I know I shouldn't be afraid but I really am terrified (of going outside to do anything, really). I'm too young to go to a gym, or anywhere else as I'm too young for a car as well (afraid of asking parents as well). Does anyone know anything that I can do? I don't eat terribly, but I don't eat super healthy either. Thanks for any advice.
EDIT: I just moved here, I don't have any friends to invite.. So uh, yeah..