If I get a picture of all of that and all of the names to all the pieces and parts that would be awesome! Thanks

There are many ways to plumb a sink. What's your situation - single or double sink, disposer, dishwasher, and where you live (for the code)? Also are you installing something new, partly new, or just trying to learn what's there now?

If you go to HD or Lowe's they have a library section and plenty of plumbing books with more pictures than we could post here.