When I'm taking pictures indoors I always look for my best source of natural light. Look around your house and think about which windows let in the most amount of sunlight. In my case, my front bedroom has great morning light, and my living room has wonderful afternoon light.
Put your subject in a place where the window light is going to fall on them, position yourself so that you're not blocking the light, turn off your flash and snap away!
(Note: Try to keep your camera as steady as possible. The less light you have, the more you are susceptible to motion-blur.)
Here you can tell the window was to my upper left. Do you see how the light is hitting the front and right side of Ella's face?
In this picture the table is positioned around 6 feet in front of the right corner of the window.
In this picture, she is sitting directly next to the window. I turned her so that the light fills most of her face, but leaves a bit of her left side in shadow. Do you also see how you can see the window catchlights in her eyes? If you were to use flash, you would take the chance of having red eye instead.
I would love to hear what you think!!! Let me know how it goes!