NSIT/DTU is far better than NIT Hamirpur for CSE. 

Be it academics, placement, research culture, peer group, exposure, etc. NSIT/DTU will offer better opportunities. These two institutes also have a locational advantage. Due to the favorable location, you can easily get good exposure in the CSE domain. NSIT and DTU both will offer you plenty of opportunities. However, many students prefer NSIT for their small student intake. 

These are the books I and my peers used as KMC Mangalore MBBS students-

For first year-

1. Anatomy : Gray’s (Recommended); B.D. Chaurasia; Netter’s Atlas (must have). 
2. Physiology : Guyton (Recommended); A.K.Jain (not as good as Guyton); Manipal Manual of Physiology (only to pass, last resort). 
3. Biochemistry : Satyanarayan; Beena Shetty (only to pass, last resort).
4. Embryology : Inderbir Singh
5. Neuroanatomy : Snell (For Neuroanat).

For second year-

1. Pathology: Robbin’s (This is the only book you need for this subject).
2. Microbiology: Ananthanarayan(Fungus, Virus and Immunology is really good). 
3. Pharmacology : Tripathi (Massive, but required for entrance); Shanbag (only to pass).
4. Forensic Medicine and Toxicology : Pillai (Really good book on this subject).

For third year-

1. Community Medicine : Park 
2. Ophthalmology: Khurana (Last minute study)
3. ENT : Dhingra

For fourth year:

1. Medicine : Davidson (MUST HAVE, MUST READ); Harrison; Archit Sir (this book is really helpful). For Practical - Macleod’s. Some students use Harrison or Arup Kumar Kunda (this book helps with probable viva questions).
2. Surgery : Bailey (The BIBLE of Surgery); SRB. Some students use Clinical Pearls of Surgery
3. OBG : Dutta ( Always for Obstetrics); Sheila
4. Gyn - Shaws( Recommended)
5. Pediatrics : Ghai and class notes
6. Orthopedics : Maheshwari.

These books are used by MBBS students at KMC.

It depends on what you are interested in and what career you want to pursue. My personal suggestion would be to make IIT Delhi your first preference.

First, if you are a civil services aspirant, get admission into IIT Delhi in any branch and prepare for UPSC through the various coaching institutes available.

If you are somehow not able to make it into IIT Delhi, then invest another year preparing for JEE and aim for a higher rank. Once you are able to make it into IIT Kanpur, again you need to work hard for one year to get a branch change into Civil. You will be competing with geniuses from CS and ME but keep yourself motivated. A CPI of 7+ will make it possible to get a branch change. Attend your classes regularly, complete your assignments on time and you are good to go.

Lastly, if you are unable to change your branch, go for pure sciences like Physics, Chemistry, BSBE, or Earth Science. Out of these Physics and chemistry have a heavy workload and it will be tough to cope with your batchmates. BSBE has pathetic placements. Another option is Earth Sciences which in my opinion is the best considering the light workload and job opportunities. The average CPI is lesser than other branches and most of its courses overlap with Civil Engineering. Basically, Earth Sciences is equivalent to Civil Engineering just without the Engineering element.

To make an informed decision, it's crucial to understand that changing your choice based on the college you get into won't have much impact. You should acknowledge that Electronics and Instrumentation in BITS Pilani Goa Campus and Electrical and Electronics in NIT Surathkal are two distinct engineering streams with different colleges, and both colleges are excellent in their own right.

Your selection of the branch should entirely depend on your interest. If you are intrigued by electrical or electronic circuits or have been fascinated by electricity since childhood, EEE is the perfect fit for you. Conversely, if you have an interest in instruments or daily life gadgets that make our lives more comfortable, you should opt for E&I.

Keep in mind that EEE focuses on circuit design and development, while E&I focuses on circuit implementation in industries or the real world. EEE is a core branch that concentrates on its domain, but E&I combines all other core branches such as Mechanical, Electronics, Electrical, and even Computer Science.

Both EEE and E&I offer excellent job prospects in the market. E&I graduates can work in core fields or software industries. There is a plethora of industries related to electrical and electronics, so EEE also offers ample job opportunities. Therefore, both branches are exceptional in their way. Choose the one that piques your interest and don't sacrifice your area of interest due to college selection.

Since both the colleges are considered highly reputable and among the best in the country, you should focus on the branch. The choice of the branch directly depends on your inclinations and future goals. 

To make it easier for you I have explained each branch in short:

Electrical and Instrumentation: 

• Instrumentation engineering is the engineering specialization that focuses primarily on the principle and operation of measuring instruments that are used in the design and configuration of automated systems in electrical, pneumatic domains, etc. 
• These engineers usually work at chemical or manufacturing plants and their job role involves improving productivity, reliability, safety, optimization, and stability. 
• They are responsible for designing devices that measure physical quantities such as pressure, flow, and temperature. You will require a lot of knowledge in physics much more than electromagnetic theory. 

Electrical and Electronics:

• In this students learn to design electronic circuits, and computer systems and also develop control systems. Electronics play a key role in the implementation and control of electrical machines. 
• The course mainly focuses on designing and testing ICs, inductors, capacitors and resistors and includes fundamentals and principles of physics, mathematics, computer science, and project management. 
• The sub-disciplines of this branch are power, control, electronics, microelectronics and Signal Processing, Telecommunications, Instrumentation and Computers.

Although the choice depends on your own interests, EE has a better scope than EIE. 

B.Tech in AI(Artificial Intelligence)

This course is somewhat similar to CSE except that you’ll be mainly studying courses on machine learning and AI. Students of this program have to be proficient in Maths, ML, DL, etc. These courses are compulsory and you will be assigned projects on the same topics.

B.Tech in CSE

Under this program, you will be studying CSE subjects like databases, operating systems, networks, computer architecture, etc. IIT Hyderabad’s fractal system will let you take AI subjects and work on areas of ML and AI as well. So you are free to choose your research area.

Ultimately, you should determine what interests you and then only decide what to take. It’s better to research everything before making the final decision.

Artificial Intelligence is a specialization that is expected to be in high demand in the near future and its scope is yet to be determined. I don’t think it’s safe to go for a newly launched field that too from a new IIT. The program and institution both lack the necessary credibility. I would recommend you go for a general branch at a new IIT, a specialization like AI from a well-reputed institute. There are many factors one should consider like faculty, subject content, etc before going for a new specialization. 

Mechanical at IIT Guwahati on the other hand is a very safe choice considering the high credibility of the long-standing Institute.