That looks like the same variety I have, Ken. In fact it's hanging right here beside my desk at the moment (cold outside this week). It's good to make sure there is at least a little bit of water in the pitchers at all times. The plant will secrete water into the pitcher itself (just wiggle it with your fingers to see if it sloshes) or you can add it. You should always use rain water or at least tap water that has sat out for a while to evaporate the chlorine if you add water.
My biggest pitchers right now are about 7in long, and have maybe an inch of water in the bottom.
