Hello aspirant,
Hope you are doing great.
After your bsc you are eligible for the law of duration that is you have have already completed your bsc so you can do you law course even 5 year course and also 3 year course. It is better to opt for the 3 year LLB and there are various colleges and universities that are offering 3 year LLB in India.you can join according to the entrance test or directly.
You have different law colleges like
Symbosis school of law
Zindal school of law
Banaras Hindu University
Dehli University
IIT Kharagpur

All the best