Nikon Coolpix B500 Bridge Camera is definitely a better choice in comparison to Sony CyberShot DSC-H300.
Nikon Coolpix B500 is a bridge camera that means its gonna give you a lot more customization options. You just have to compromise on some pixels. But can tune more in terms of Focal Length, Aperture, ISO e.t.c. In all, Bridge camera tries to bridge the difference between DSLR and Point shoot camera and hence serves better than Point & Shoot Camera.