The options that you chose is very perfect, but as per institutions Amrita University is a renowned institution and better preference than Gitam University. But out if the topics that you have selected B.Tech in CSE is better than M.Sc in Data Science, however B.Tech degree would be easy for you to avail good placements. I think it helps, get some detailed information about the colleges

https://www.careers360.com/colleges/amrita-school-of-engineering-coimbatore

https://www.careers360.com/university/gitam-university-visakhapatnam