CentOS

Can someone guide with the process which needs to be followed for starting out movie streaming services on Linux OS?

This isn't a CentOS question, but here are some ideas to get you started:
https://wordpress.org/plugins/tags/streaming/
https://www.formget.com/live-streaming- ... s-plugins/

Don't expect detailed help in this forum, because your question is off-topic.

Also, if you are starting out, don't start with CentOS6. Use a newer distribution with more life left.

For what it's worth, CentOS-7 with google-chrome works without making any changes with Netflix. Would that be what you consider a streaming site?

I'm suspecting the OP wants to set up a server to do the streaming not use a client to stream from a server but since the question is unclear...