Overall both the IITs have their own share of advantages and disadvantages. Let me analyse your options.
If you want to pursue a Masters or Doctoral degree or perhaps want to move to the US or UK for Research purposes post Bachelors, I believe IIT BHU CSE is the best option. Many a times MnC graduates dont get admission at top US Universities including Stanford and Georgia in Computer Science and Engineering ,but they confuse and offer them admission in Pure Mathematics Departments. Overall besides India, MnC is not a very prevalent branch in any of the top foreign Institutions.
But, if your only target is securing a good placement.I believe MnC at IIT H has slightly better advantage to CSE IIT BHU. Being located near two of the top IT Hubs in India, Bengaluru and Hyderabad itself opens a sea of possibilities and opportunities in training and placements in fields of AI, Software and Machine Learning. Most of the Multinational Corporations like Apple, Microsoft and Google have their centres at one of the two IT Hubs.
The Infrastructure and Academia is another big advantage at IIT Hyderabad. Though only a little more than 10 years old, IIT Hyderabad has overtaken IIT BHU ,IIT Indore and IIT ISM Dhanbad to become the 8th Best IIT in India, next to the top 5 IITs and then IITR and IITG, perhaps due to its big locational advantage. After IITB, IITD and IITM , it is the only IIT to be located in a Metropolitan city.
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