BHMS

Hi Dear,
In medical stream, degree and skill matters. Its doesn't matter whether you have done your BAMS or BHMS from Private or Government. learn well and be a good doctor.

BHMS Courses enables you to be registered yourself as an Homeopathic Doctor and Open a homeopathy clinic. It doesn't allow you to open an allopathic one.

For admission into BAMS and BHMS courses, you need to appear for state level Medical Common entrance examination for government colleges. Private colleges conduct their own entrance.

Hi
You can do pg diplomas or degrees in administration or management or specialization. Read here for all the possible opportunities.
http://www.homeobook.com/post-graduate-courses-after-bhms/

As allopathic medicines side effects are increasing. People are looking for alternate medical. Homeopathy is also good from career prospect. And the biggest thing you can own your own clinic can work as lecturers or guest lecturer.

Hi Himanshu
Yes offcourse its a good option

Under graduate in ayurvedic or homeopathy is a good idea and since you are from bio background it totally depends on your interest. Both ayurveda and homeopathy are two different domains in medical studies. Both are having equal importance in present time. Most of the people using homeopathy and ayurvedic medicines for curing their diseases. So better think and choose one out of two in which you are really interested.
All the best!