Yes you do need something more that a point-and-shoot camera.
You need a camera that has manual controls, so that you can select the shutter speed.
For baseball, there are several 12X zoom camera that have manual controls. Canon S3-IS, Panasonic FZ50, Sony H2 or H5.
But for basketball, I would not choose any of those cameras.
Because, they do not have a CCD sensor that will let you do action shots in low light or under artificial lights.
You need a DSLR (digital single lens reflex) camera.
They all have ISO settings that are mostly noise free through ISO 1600.
And they let you change lenses.
The less expensive popular DSLR cameras are the Canon 350D, 400D and the Nikon D50, D80 and D40.
Do I need to move up from a point and shoot camera to take great sports pictures? I want to capture both baseball (outdoors) and baketball indoors. Is a 12x optical zoom on a point and shoot good enough? DO I nned to get a 200M lense? I ahve a budget between 500 - 1000. Thanks