Hi ,
So a pg in psychiatry is a good choice . There are at around 150 colleges for the same . You can go through and chose amount them according to your interest , facilities and fee structure .

Some of the colleges are as follows :
All India institute of medical sciences -3000/yr
Christian medical College -180,000/yr
Armed forces medical College-1,00,000/yr
Kasturba medical College-1,500,000/yr
Maulana Azad medical College-17,000/yr
JIPMER- 14,000/yr
Lady hardinge medical College-17,000/yr
Madras medical College- 20,000/yr

So now I think you can have a clear idea
All the best for your further studies
I hope I was helpful

Some good government colleges are:

• AIIMS: Admission is done through rank in AIIMS entrance exam.
• Maulana Azad Medical college, New Delhi: Admission through score in NEET PG.
• Armed Forces Medical College, Pune: On the basis of rank in entrance exam.
• Christian Medical College, Vellore: Admission through score in NEET PG.

Good luck.