The lenses you will be getting do not have very wide maximum apertures especially at the longer focal lengths. All you can do is use the lenses at maximum aperture and up the ISO to get shutter speeds that will stop motion. You will get more noise at high ISO's but the D5200 may be quite good in this case. If you use Aperture Priority mode the camera will set the shutter speed but watch to see if the shutter speed will be fast enough. Auto ISO could be helpful, too.