[kiyaana]

For the cups: Especially since you're using lycra, you can cut a big circle/oval (bigger than the cup by about two inches in each direction, pin it to the top edges, and stretch it to fit everywhere else, usually with a small dart in the lower side area of each cup. Pin everything in place. Stitch the dart in place, then turn the extra fabric to the inside and stitch it to the cups.

I know there are more photos out there of this kind of thing.