They demand food. They will leave if you don’t have food they want, but return when you have enough. Pigeons only need very inexpensive food compared to the eagle.
They understand commands properly, but can’t read or anything. For example, to navigate a long distance, they have to know the way, or be given clear instructions based on landmarks they can see from up high.

Can I have a hairy eagle? I don’t want a bald one.
Your eagle receives:
+ 5 cold resistance
+ 2 damage resistance
- 10 heat resistance
- 5 perception