Selecting a book together can become frustrating when the group has no shared process. Before collecting suggestions, agree on practical limits such as length, language, availability and the time before the next meeting.
Invite each person to propose a small number of titles with a brief reason. A sample chapter or reliable description can help others judge whether the choice suits their present interest. Avoid requiring anyone to buy an expensive edition.

Use a method everyone understands, such as a short vote or a rotating choice. Keep a list of suggestions that were not selected so that the effort of proposing them is not lost.
Review the process occasionally. A group may want to alternate genres or include shorter works during busy periods. Choosing together is less about finding a book that pleases everyone than creating a fair and workable way to explore different reading interests.
