bigdog

That's a loaded question, lol. It depends on the variety of banana, the size of the plant when you bring it in, and the conditions in the house. I would grow it outside in the ground for the next couple of months to get maximum growth out of it right now. Around mid-September (while it's still warm outside, so it will grow new roots), dig it up and pot it up into a pot that looks about 2 sizes too small, and use a very-well draining mix. The reason for that is to prevent overwatering. The smaller the pot, the less water for the soil to hold. If you have typical indoor winter conditions (72F, dry, low light), only water it when the soil is bone, bone dry. Basically, just enough to keep the leaves alive. The easiest way to kill a banana indoors is to overwater it.

Or, if planting it outside isn't an option, you could just leave it in a pot, but water and fertilize regularly (every couple of weeks) and put it out in full sun. You want to have the biggest, healthiest plant possible before you bring it in for the winter.