Lucknow

Babu Banarasi Das is a good option if one wants to pursue this course because the faculties possess experience of more than 10 years or so and the infrastructure also provides you the facility of residing in the campus if you're a student from outside.

If you don't want to skip a year before you crack CLAT then you can choose this alternative. Lucknow University is fairly good.

Kindly check:
https://goo.gl/oDwpKf

BBD University will be beneficial for you to pursue MBA amongst the two choices you have because the facilities hold the industrial experience as well. So, one would be gaining much knowledge and will have better exposure.
The perks of this institution is that its location is on the main road unlike the latter one.

If you're an aspirant of CS this college would be good for you as it will help you to enhance your knowledge and modify your skills.

BBD University offers you variety of courses and the faculty of this institution focuses on imparting theoretical as well as practical knowledge that broadens your horizons for future endeavors.

You can refer the below link:
https://www.shiksha.com/resources/college-comparison-157743-218960

Lal Bahadur Shastri Institute of Management and Development Studies is an average college. I won't recommend you to join:
https://www.shiksha.com/mba/course/master-of-business-administration-lal-bahadur-shastri-institute-of-management-and-development-studies-lbsimds-lucknow-123090

You should visit HCL IT City in Lucknow. They provide training to the students. Call them and ask about the criteria. My friends are also going to join it. It would be good for you too.