You are right in thinking that a certificate in TEFL will help you with work possibilities. However, as more people have the Cert there is still a lot of competition.
Many certificate courses have contacts with schools and so you have opportunities to apply for jobs while studying. You can ask about this when applying for courses.
You asked about the possibilities of teaching EFL as an Indian. This will depend very much on the school you apply to, their needs and recruiting policy. It will also depend on which country you want to work in, as some governments have regulations about which qualifications are needed to teach.
I wish you success with your plan and hope you enjoy travelling and teaching. It's an excellent way to get to know a country, its culture and its people.