The genus Neoregelia contains many different plants that are fun to grow. There are many species in this genus, yet most of the plants grown by hobbyists are hybrids. Species oftenused: carolinae, meyendorfii, carcharadon, olens, punctatissma and princeps. Like many (if not most) bromeliads, Neoregelias in nature grow as epiphytes in trees, some as hosts to poison dart tree frogs. So grow them in your typical free-draining bromeliad potting mix.
These plants can be quite prolific; simply cut of the offsets that grow attached to their "mother" when they are approximately 1/3 to 1/2 the mother's size. Sever with as much tissue from the offset's base as possible. Then let them cure for a few hours or a day before potting.
A growing tip from Scott: Don't let mosquitoes breed in the cup! My experience is that they are particularly attracted to the rather foul water that exists when the old flower begins to decompose. So flush every two weeks or spray with liquid Bacillus thuringiensis israelensis (Bti).
Bonus points if you can name the new Genus [It was Tillandsia.]