The main campus of LNCT in Bhopal would be the best option. However, if you want to join the LNCT campus that is not the main one, then AITR Indore is a good options.

In the placement drive held in LNCY Bhopal in 2021, the highest package was offered by Microsoft and it was an offer of INR 44 LPA. The top recruiters of the students are Capgemini, Cognizant, TCS, etc and they offer packages ranging from INR 3 to 8 LPA.

In the case of AITR Indore, the company that recruited the maximum number of students is TCS, followed by Blazeclan Technology and Capgemini. The highest package offered is INR 8 LPA and the average package is INR 3.8 LPA.

Having to know some people studying in these colleges and after reading some reviews online, I can say that market calculations for placements might have changed. But I could assure you that any of them would give solid infrastructure, reasonable learning experience, and plenty of opportunity for placement. 

Herewith I'm briefly differentiating all the colleges you mentioned :

Choose one that meets your needs, taking into account other aspects such as costs, distance, etc. But it is better to take LNCT as your first preference at private school and to obtain entry in IT or CS out of the 1994 seats available.

It depends on what you expect as the final outcome from your degree. If you are looking for just a degree, SGSITS is a good choice. But doing engineering just for the sake of it does not make sense. You should figure out what branch you want to study in before making any decisions.

BM and IP:

These two will not fetch you that much capital since the placement options are limited. Your chances will only increase if you are from an IIT.

CS:

Computer Science Engineering is the most reputed among students. It will fetch quite a decent package but you will have to work for it on your own, irrespective of which institute you choose. 

ET:

ET is a branch that can prove to be quite fruitful for you. Placements are really good to a certain level and you are bound to cop some of the top ones if you study seriously. 

Choosing a branch is the most crucial step and you should decide that, on your own.