Within VLSI you can focus on analog domain, digital domain & SOC - usually you will be working within a big team.
You can also develop PCB level expertise in that case you will be able to put together various components to create a final product.
Power electronics is also an interesting field with robotics, electric cars, smart things.
Semiconductor Fabrication is also a very interesting field, and hopefully will be more common place in India in the future.
I would suggest you to pick one area of interest - IOT, Robotics, Power electronics, Defence products (like radar), Electric car (Charging, motors), Computer architecture (RISC-V, ARM), FPGA, Smart meters, Solar energy, AI & ML, GPU, Hardware accelerators and learn in detail about the field.
I can suggest some channels that I really like, you may not understand most of it but even if you understand 5% to start with it is a great start.
Gather like minded students and work together (this is very important you will learn a lot as part of a group)
Try to intern with a company, early exposure is very beneficial
Learn C programming, VHDL if possible. Also Matlab, Ansys, ROS (Robot Operating System)
Learn to use a PCB layout tool
Search for Reference designs & Application notes on IC manufacturer sites - TI, Atmel
Since you are in Chennai, IIT Madras is building open source Processors
You can apply for an internship once you learn the required basics
Once you complete 10th Standard, get admission to any of the polytechnics which offers Diploma in Electronics & Communications or Electronics & Electrical. This is a 3 year full time course, once completed you can directly get enrolled to an engineering college and you will be directly joining 2nd year E&C or E&E in any engineering college. After Completing Diploma, Engineering is a 3 year full time course. Once completed you will be Bachelor Of Engineering. Post which you can specialize in Electronics or Electrical by studying further like Master of Engineering, ME.
If you are in Class 10, then a diploma in Elec & Comm would be a good start. If you are completing Class 12, then look for a good college offering Engineering in Electronics and Communications.
As you progress through the diploma or engineering course, you will have a much better understanding of the available specializations and choose one to deepen your expertise through a Masters and eventually a PhD if you want to go all the way through.
Most ECE engineers end up in generic software jobs today, so make sure you don't want to go down that path, which is where most of your peers will go. It can be a bit of a struggle initially to find a job that you are really interested in, but as you build your expertise in some of the niche areas - networking, robotics, 5G, etc., your patience and focus will reward you well.