care at check-in counter will paste the baggage labels on your luggage. the tags have your flight information and your name. this is to identify your luggage while picking it up in the destination country. once you checked in your luggage you will be handed over boarding pass if all your documents are correct.
self check-in : these days you can check-in by yourself with self check-in machines, i’m not sure if they are present all over the world. but, most of the airports have it. enter your ticket details in the self check-in machine and print your boarding pass and paste the baggage labels to your baggage that came with 