I would do the shirt and petticoats all out of the same material; some sort of light-weight cotton (NOT quilting cotton, but a shirting material). For the skirts, you can get that kind of volume by using quite a bit of material - instead of a rectangle, sew together several arcs or semi-circles and then gather them. On the hem edge, put lace lace lace and more lace
It looks like there are at least two layers of petticoats. If they don't have enough volume or bounce, then you could add in a layer of tulle underneath or between the two layers (or both), and this can be done in such a way that it isn't seen (or is seen very little).
Pictures and tutorials from my costuming portfolio at Syagria's Cosplay Site!
Star Trek Original Series Uniform!
Original Creation for AB13
Most Recent Con:
PAX East, Anime Boston 2013