I think the purpose of a reading club is to read and enjoy literature, so it becomes a space where the readers can enjoy a discussion whether it is about one part of the story, a character or the book in general.
As I tried to get to know more about this subject, I found these really useful videos/tutorials -made by an English teacher- where she clarifies many subjects about book clubs. So here they are (they have subtitles):
* As I think the main purpose of a book club is to discuss a book, these tips may be helpful:
*About the policies, this one is definetely the most important
* And last but not least, how to choose the books that are going to be written: