hello seethapathi,

hope you are doing well,now coming to your question

BAMS, of-course has the greater potential than BHMS. Ayurveda is getting an edge over allopathy etc.
When it comes to graduation in Ayurvedic medical science, the students will be taught entire subjects that involve knowledge of this field, inclusive of modern science. In this course, the study load for students will be more as compared to MBBS and BHMS.

In BHMS, students will learn only some areas of modern science, while the other subjects will be mainly focusing on homeopathic medicines. When it comes to study load, it will be equal to MBBS or even slightly more as well. Here, it will be difficult for students to remember different medicines for different conditions as per homeopathic material medical.

please go through the following link for more details

https://medicine.careers360.com/articles/bams-vs-bhms

hope this will help you a lot

thank you

dear student

BAMS (Bachelor of Ayurveda, Medicine and Surgery) and BHMS (Bachelor of Homeopathy, Medicine and Surgery) have their own importance and future scope. The duration of both courses is same. Studying BAMS or BHMS purely depends on your interest. If you want to earn and settle in future faster then you can study BHMS. If you want to treat people and do research on plants and etc you can do BAMS course. 

Now a days scope of Ayurveda is increasing since Ayurveda has no side effects but the cost of treatment is more but where as homeopathy also doesn't have any side effects and the cost of treatment is also low. 

Ayurveda has great scope in India. Homeopathy have a world wide scope and has given equal importance with MBBS candidates. 

Based on your interest you can choose. 

hope this helps

All the best!!!