Dear,

BSc is better than the BA hons. For differences part, it can be summed up that BSc degree provides you more details about cognitive and biological aspects covered under psychology. But you must look for contents of the syllabus of the colleges you are applying for.That can provide you a better idea of what you need to do with your career.The B.A. option usually involves taking fewer courses in psychology and more classes in subjects outside of the major field area. A Bachelor of Science degree will focus on more science and mathematics courses. Students pursuing a B.Sc. in Psychology may have to take more lab and statistics general education classes.

As per the better part, both are domains of psychology. Only that some colleges in India still don't have registered BSc programs, so they offer psychology as arts subject.

Hope this helps!