Exercise help?!

Hi! Basically, I've just turned 18 and have been wanting to get fit for some time. However, I suffer from a condition called Ehlers-Danlos Syndrome, which basically means I have next to no collagen. It involves easy bruising, frequent tiredness and causes my joints to dislocate at any given moment (yeah, it hurts haha). I was just wondering if anyone knew any forms of non-excessive exercise I could do that don't out too much strain? I've tried spinning, but I was left bedridden for days after as my joints played up. I've also tried Pilates and yoga, which ended in pain and embarrassment as my hip popped out mid session! I'm desperate to get fit but I've had enough of people looking like they're about to be sick when I click, and I'm tired of being tired and on bed rest haha!
Thanks for your help!!