This is the info from the Botanical Soc. of America website:

The Venus Flytrap is one of the easiest carnivorous plants to grow. If you wish to grow one or more, they have only a few requirements such as, wet roots, high humidity, full sunlight, and poor, acidic soil. It comes shipped to you as a bulb or rhizome. Plant it root side down so that the top of the bulb is even with the soil. A recommended soil mixture is one that contains sphagnum moss and sand. Do not add fertilizer or lime. Your plants will do better if you transplant them into new soil every few years.

In order to provide high humidity for your Venus Flytrap, plant it in a terrarium or in a glass container with a small opening. An old aquarium or fish bowl makes a good container for this purpose. You need to watch your terrarium in the summer because the temperature inside the glass may get too hot. Two hours in the sun may be sufficient. If your plants wilt, then they need to come out of the sun sooner. Just the opposite is true for winter. If it gets very cold in your area you may need to move your plants away from the window or cover them at night in order to keep them warm and moist. However, your Venus' Flytrap will experience a dormant period in the winter, from Thanksgiving to Valentine's Day so it needs fewer hours of daylight and cooler temperatures.

Another way is to plant it in a pot and place the pot in a larger container such as a bucket. Partially cover the top of the bucket with a piece of glass or Plexiglas. Don't cover the entire top because air needs to circulate.

After your plant matures, it may produce flowers on a tall stalk far above the leaves. It has to be high above the leaves so insects pollinating the flowers do not get trapped in the leaves. Each flower produces very tiny seeds. They are about the size of the period at the end of this sentence. Plant the seeds right away or store them in the refrigerator. If you pinch the flowers off, the leaves will grow more vigorously since growing flowers takes a lot of energy from the plant.

The Venus' Flytrap also reproduces via its rhizome. It never has more than seven leaves. If your plant has more then seven leaves, it has already split off another plant from the mother plant. You may want to try pulling a leaf off and replanting it. Eventually, this leaf will die off and a tiny, tiny new plant will emerge.

If you wish to obtain and grow Venus' Flytraps you may check to see if you have a local greenhouse that carries them.

If you grow your plant outside, it will get enough insects to eat. If it rains the container may fill up with water but this will not hurt the plants, they can live underwater for months. If you grow your plant inside you will need to feed it insects. A couple of houseflies or small slugs per month is enough during the growing season. Do your plant a favor and DO NOT feed your Venus flytrap plants hamburger! Indigestion and rot may occur and usually your plant will die. Find a "just right" sized bug instead!

There's also a fab site, with masses of info about the care of Dionaea muscipula:

www.flytrapcare.com