Colleges in Himachal Pradesh

Shimla University is best because it is an international university and you will get good exposure.

You shall refer the following link:
https://www.shiksha.com/resources/college-comparison

Chitkara University is well known for IT and engineering courses.

NIT, Hamirpur is better for MBA as it has better reputation than the Himachal Pradesh University. I cannot give information on the placements because the current batch is the first batch of MBA from NIT-H, and no companies have arrived yet.

They all come under MIT-WPU.

Chitkara University is a no.1 choice for B.Tech in Punjab. Chitkara University has a really good reputation & university established in the year 2002. In the latest survey by CSR-GHRDC Engineering Colleges Survey 2017, Chitkara University has been ranked top in Punjab among the top engineering colleges. See the source for confirmation: http://www.chitkara.edu.in/events/csr-ghrdc-engineering-colleges-survey-2017-ranks-chitkara-institute-engineering-technology-11th-among-top-engineering-colleges/

College change or branch change after the first year is completely dependent on college norms, some college allow it and some won't plus you need to have good scores in the first year to apply for the same. For further details contact the college authorities.