Formal:
* Mon père a les cheveux bruns et les yeux bleus. (This is the most grammatically correct and formal way to say it.)
Informal:
* Mon papa a des cheveux bruns et des yeux bleus. (This uses a more casual word for "father" and is more conversational.)
Other options:
* Mon père a les cheveux châtains et les yeux bleus. (This uses the word "châtain" which is a more specific shade of brown, often translated as "chestnut brown".)
Remember that the best way to say it will depend on the context and your relationship with the person you're speaking to.