See as you don't have any teaching experience and if you want to do BEd course, then I would recommend you to go for the good institutes in order to have a better career in your life. The top BEd colleges in Kolkata are provided below:

St Xavier's College, Kolkata

Scottish Church College, Kolkata

University College of Science, Technology and Agriculture, Kolkata

Shri Shikshayatan College, Kolkata

Loreto College, Kolkata

A.J.C Bose College Kolkata - Acharya Jagadish Chandra Bose College

Institute of Education for Women, Hastings House, Kolkata

David Hare Training College, Institute of Advanced Studies in Education, Kolkata

For more colleges visit the link below:

https://university.careers360.com/colleges/list-of-bed-degree-colleges-in-kolkata

To know more about a career in BEd visit the link below:

https://www.careers360.com/courses/b-ed-bachelor-of-education

I hope this answer helps. All the very best for your future endeavors!