You need to figure out what kind of conditions you can provide, Dewy. Do you have grow lights? If so, you have a wide range of plants to choose from, more than I could list off the top of my head. If all you have is a bright windowsill, you'll be more limited in your choices. A good, hardy starter plant for the windowsill might be N. maxima, N. khasiana, or, as AlphaWolf suggested, N. ventricosa. These are highland plants; they like bright light and a temperature drop in the evening, making them a good choice for the window.
A few things must be accounted for, no matter what Nepenthes you choose. Nepenthes need humidity to pitcher and be happy, so if your home has dry air, that will be a problem. But, I see from your profile that you're in North Carolina, so unless you have the air conditioner on all the time, you should have decent humidity. You might want to get a hygrometer (humidity gauge) and check to see that the air is at least at 20 or 30% humidity throughout the day (that's very low for Nepenthes culture, but good enough for the really hardy ones, I think. Aim for 50+%.) If you mist your Nepenthes with clean water a couple of times a day, it will have a much easier time coping with low humidity.
Next, you need cool, bright light, so that you don't cook your plant during the day time. So you'll need either some grow lights (not incandescant bulbs) or a good window. The sunlight gets hotter as the day goes by and the atmosphere warms up, you should take that into account if you want to grow a plant on by the window. If your window faces the east or NE/SE, then you'll get morning sunlight, which is a benign as it gets and the best choice. If your window faces west or NW/SW, then you'll be getting mostly hot afternoon sun - these windows are not the best for Nepenthes, and should only be used if the light they get is partially shaded (such as by trees outside or a curtain.)
If light, humidity, water, etc. are not as good as needed for your Nepenthes, it's not the end of the world. The plant will do just fine, but it probably won't produce pitchers or grow very fast.
If you have grow lights, there are a lot more choices. You could get lowland plants, which like warmer, more consistent temperatures and very high humidity. Lowland Nepenthes typically require some sort of enclosure (like a terrarium) to keep the humidity up. You could also grow a lot of different highland strains, as highland Nepenthes like the cool temperatures and very bright light provided by most artificial lights.
I hope that helps some. You can find a much more detailed
FAQ on Nepenthes cultivation from
Barry Rice's CP FAQ.
Good luck!
~Joe
Edit: growl lights. Heh.