For me, it really comes down to lens selection. The blur you're experiencing is probably a result of a smaller aperture and slower shutter speeds.
I shoot with a Nikon D50 and a 80-200 f/2.8. I can work in poorly-lit high school gyms if I bump the ISO up to 1600. And when I shoot lacrosse in broad daylight, ISO goes down, and the sky's the limit on shutter speed.
I have a fujifilm S602Z and when I take action or sports shots the subjects are blured. Is there anything
I can do to help this. I am also looking to buy a new
digital camera what would would be good for these kind of shots.