B.Ed

You can apply for B.Ed in lots of private universities in Pune.

NCTE approved universities are:
Himachal Pradesh University (Shimla)
Maharshi Dayanand University (Rohtak) Punjabi University (Patiala) Kurukshetra University (Kurukshetra)
Kota Open University, Rajasthan
Yashwantrao Chavan Maharashtra Open University, Maharashtra
Karnataka State Open University (Bangalore)
Indira Gandhi National Open University (IGNOU) (New Delhi)

What do you mean by M.Sc getting extended for 1 year?
Pursuing B.Ed in the same year would not be possible.

To know about the direct admission process kindly get in touch with the college officials.
Link: http://tihspatna.com/Courses.html#

I would suggest you go for the subjects which interest you. E.g. if you have completed B.Ed in English and social then you can opt for the same subject in your PG.

Entrance exam will be conducted by the university in the month of April.

To know about the B.Ed colleges refer to the link:
https://www.shiksha.com/teaching-education/colleges/b-ed-colleges-india

You need to have minimum 50% or above in graduation to get admission in B.Ed colleges in Chennai for B.Ed are Alwin College of Education, Balaji College of Education Chennai and Vinayaga College of Education.

To know about the number of seats in B.Ed I would suggest you to directly contact the college:
Refer to the link to get the contact details: http://www.tezu.ernet.in/

Yes, you can take admission in B.Ed if you have not started off with your M.Com. However, the final call is taken by the university. So before applying get in touch with the respective institute.