I recently acquired one of these things and I have questions about how to grow them...
Aren't they the neatest things? I've enjoyed flytraps for a couple of years, but haven't figured out how to successfully winter them yet. *sigh*
Anyway, I had a lot of luck with the following:
- As said, bright light, but don't cook them. Mine were set outside where they got a few hours of morning and evening light without being fried in midafternoon sun. Hot, humid weather is your friend.
- Don't keep that little cup over them. Humidity is great, but they need some air too or else fungus and rot can set in. Same for soil- a little damp is good, but constantly soaked can cause root rot.
- If there are some buzzy bugs in your house or if you set the trap outside, let it catch them on its own. They don't need to eat many bugs to get the additional nutrients. You could also get a couple of small insects (about 1/3 the size of the trap) and set them with the plant in an enclosed container for a bit, that could work too.
- My research has suggested repotting should be done during early spring when the plant is still in hybernation. Pulling them out of those little pots they come in during warm months can tear roots and possibly kill the plant. If you want a nicer looking pot, you could always set the plastic one inside a fancier one and cover it with a bit of sphagnum moss.
- You'll know your flytrap is happy when you start seeing new, budding traps and the bigger ones are red or purple on the inside of their "mouths." Most of the ones at the store are spindly and a little sad looking. Some sun, moisture and a bug here and there will perk them up. After 2-3 months mine usually have 15-20 1 inch traps. It's like this bouquet of hungry maws.

- Flytraps, unfortunately, require a dormancy period or they can die. My climate is way too cold to hibernate them outside (freezing is bad for bulbs) so I've been fiddling with the refridgerator method. It's a bit tricky, but I'm hoping one of these winters I'll get the hang of it.
Much luck with your little flytrap! These might be some helpful resources (Googling "Carnivorous Plants" has always yielded better info for me than "Venus Flytraps"):
http://www.sarracenia.com/faq.html- OpenHands
http://www.pitcherplant.com/flytrap.html