In Flash I can draw a line, I can then just grab any part of it and pull it around, piece of cake. With illustrator when I had a go at it, you draw a shape, but to change it's shape you need to move those little toggles around which is just unintuitive to me.
Have you tried out the Pencil Tool (N)? Because when you draw a line with it, you can draw over it again if you're unhappy with it and Illustrator will reinterpret the path. That's the best way to roughly sketch out your shapes and lines, and then later on you can refine everything with the Pen Tool or via moving around the individual vector points. The Pencil Tool gives you a more painterly and freehand approach to everything, and coupled with the fact that you can basically switch between this approach and one that is more about precision is what I personally love about Illustrator.
Though, this approach might not be for everyone because it's still very different from drawing in either Flash or Photoshop so I fully understand if some people don't like it.