I do not know how to use remind of or remind about?

I do not know how to use “remind of” or “remind about”

Let me explain as clear as I could.

1.The sky is getting dark.

I and my son are having breakfast.

I remind him of bringing an umbrella before he leaves.

My son is standing at the door now.

I remind him to bring an umbrella.

2.I have an appointment with Peter at 3:00 p.m.

My secretary reminds me of the appointment at 2:00 p.m.

My secretary reminds me about the appointment at 3:05 p.m.

3.Mary has just borrowed a book from the library.

I remind her of returning the book to the library on time in case she gets a fine of $1.

The borrowed book is overdue.

I remind her about returning the book to the library.

I remind her to return the book to the library.