Okay, so you turned off your flash because you didn't like the way it ruined your pictures. Now what? Pictures too dark? What to do?
1. Raise your ISO to let in more light.
2. Lower your shutter speed.
3. Open up your aperture.
That's the fast, cheap, and easy way to get around the problem. It's a starting point that will bring you to the conclusion that there must be more to it than simply that. Don't worry, there is a whole lot more to it.