I think the sakuga panel is a good start for someone who wants to know how people go about talking and identifying animators. It gives a rough overview of various styles of animation (through their representative animators) and how they evolved in time.
https://www.youtube.com/watch?v=LLNHSrJoqFM This is the first part, you can go to the others by clicking on the anotation at the end of each part.

They're still uploading it, so it's not complete yet but at least they'll cover some of the most popular animators.