PGDM is best if you want latest industry experience and International kibd of learning experience blended with rich practical experience into Management.

Both courses have not much difference as the structure varies.

MBA- A degree course offered by the colleges affiliated to the universities. So, only universities can offer MBA programmes.

PGDM- A diploma course offered by the institutes that are recognised by the All India Council for Technical Education (AICTE) and which are autonomous and not affiliated to any university. However, accreditation by Association of Indian Universities (AIU) makes an institute's PGDM course equivalent to an MBA.

Famous MBA institutes in India:
Faculty of Management Studies, University of Delhi.
SIBM Pune
NMIMS Mumbai
IIFT (Indian Institute of Foreign Trade)
JBIMS , Mumbai

Famous PGDM institutes in India:
IIMs (Indian Institute of Management)
XLRI (Xavier School of Management), Jamshedpur
SP Jain Institute of Management and Research, Mumbai
NMIMS (Banglore/Hyderabad)

Hope this helps you.