The DSC-HX300 has 16 shooting modes, Anti-motion Blur, Back Light
Beach,,Fireworks, Food, Handheld Twilight, High Sensitivity, Landscape, Night Portrait, Night Scene, Pet Portrait, Smooth Skin, Snow, Soft Focus, Sports.
>Use the Sports mode for action. Use the 'burst'
option and you'll get several images and be able to select the best moment.
Wider angles (rather than extreme telephoto) allows for less blur if the camera is handheld (even teh improved Steady shot feature can only do just so much.) You may have better results optimizing for either ISO or shutter speed, but that will be lighting and speed-of-action dependant. You'll probably need to experiment a bit.
If you need further help, I’m available over the phone at https://www.6ya.com/expert/steven_7f54ab9063554f66