If I were limited by the amount of space available for both storage and working out, I'd think about using resistance bands. Essentially it's a set of elastic tubes much like surgical tubing color coded for the amount of resistance offered by each. Most sets have interchangeable handles and velcro straps for attachment points. The sets definitely don't take up much space and as long as you can find the room to extend your limbs to the fullest in multiple directions they should work fine.