How do you say CHICKEN in German?

One of the things that are always hard for a German learner is the huge number of words for food items. So many foods have multiple names. Karotte/Möhre. Orange/Apfelsine. Lauch/Poree.

A thing that really confused me is Chicken. Huhn, Hühnchen, Hähnchen… So many words, which ones are right?

So I looked up all the terms for Chicken and found that the terms for living animals (hen, rooster, chick) were all pretty clear. It’s only chicken meat that varies between Hähnchen and Hühner. So in comes Google, and here’s a chart comparing the frequency of Google results for terms using Hähnchen vs Hühner.