1) Keep in mind that connective tissue and muscle are two different things. I answer with respect to fascia / connective tissue.
2) Joanne gave a very thoughtful answer, and a wise one for general input.
3) The condition of your fascia, its elasticity, its hydration, etc. occur in proportion to the stresses you apply to them. I like yoga, particularly vinyasa yoga, as fascial conditioning because of the tri-planar aspect of yoga.