Distance

Hi, you can pursue BEd from IGNOU ( INDIRA GANDHI NATIONAL OPEN UNIVERSITY ). To know more please check out this web link : http://www.ignou.ac.in/ignou/aboutignou/school/soe/programmes/detail/90/2
Apart from BEd you can do TGT, PGT, NET and PhD also.
TGT & PGT are titles and not courses. There are courses that are called TGT courses, like B.Ed is a TGT course.
TGT (Trained Graduate Teacher) - This means, you are a graduate, who is trained in teaching. If you clear your B.Ed, then you already become a TGT. So no need to do TGT if you have B.Ed degree. (Thus, TGT is not a course, but a title given to teachers who have completed their graduation and trainining in teaching. Thus B.Ed is a TGT course)
PGT (Post Graduate Teacher) - This means, if you are a post-graduate (eg., M.A.), and have done your B.Ed or M.Ed then you become a post graduate teacher.
NET is an national level examination given by students who are post graduates (MSc, MA etc.,) and once cleared, then they become eligible to be a lecturer.
PhD can be done later by students who feel they should do further research in a particular field of teaching.
To start with, B.Ed is the best option.

Hi,
List of colleges offering B.Ed via distance / correspondence / part time are :
https://www.shiksha.com/search/?q=B.Ed&c=9&sc=38&sa=^^0^477^0^0^0&ts=165992&rf=filters&sp[]=477&mo[]=Correspondence&mo[]=Part Time
Kindly filter out the branch / college / location as desired from the above link.
There is a difference in Correspondence and Regular course, i would say it varies from one subject to the other also from one degree to the other. However in general a course through distance learning does not have as much value as the regular one so if you can do a regular course, it would hold a lot of importance and thus be a much better option. The acceptability and recognition of a full time course is higher in industry and the long term career gains are good. Correspondence courses are ideally meant for those who are working and cannot leave their jobs to further their education. It is only to leverage ones experience and not so much as a stand alone degree.
The employ-ability of a full time degree holder is the most and those with a distance education degree may face a drawback as far as employment options with MNCs are concerned. However, what is also relevant is your experience; skills and profile should match the profile needed for the job and organization. Thus it would be best for you to pursue a full time course.
Hope this information helps. Please feel free to revert.
Wish You Luck!