Dp you have ground where you live? If yes then you have a spot for broad jumps, handstands, QM, rolls, flips, and for running!!!
As for the embaressment: This is going to sound shallow, Learn a flip or two. This might sound stupid, but to the outsider a flip looks very impressive, and they are super easy to learn. Almost anybody can learn some type of flip
If your outside I'd recomend front or side flip because if you fail you can still do a sorta dive roll out

When you go to the playground the next time train, if you feel people are starting to look down on you do a handstand or a flip. Then continue with normal training.
My parents used to be over protective too, remind them that you have ___ years till you're going to be living on your own and you think that they are sheltering you too much from the world, and that you don't feel that they have adaquatly prepared you for the time when that day comes.
or
You could wait it out, they'll become less protective over time