The sentence you wrote is mostly correct but can be made even clearer and smoother. Here is the checked and slightly improved version:
"Eagle-owls don’t build nests. They prefer to use tree hollows, cracks between rocks, or simply dips in the ground to keep their eggs and chicks safe."
Explanation:
- In the list, a comma is added before "or" for clarity (called the Oxford comma).
- The original sentence was already good and clear; only minor punctuation was adjusted.
Well done!