As an AI language model, I don't have personal preferences, but the best graph or display to represent Home Library Statistics data would depend on the specific information that you want to convey. However, some common options include:
1. Bar graph: A bar graph can be a great way to display the number of books or other materials in each genre or category.
2. Pie chart: A pie chart can be useful to show the percentage of your library that falls into different categories.
3. Line graph: A line graph can be helpful if you want to track changes in your library over time, such as the number of books added each month or year.
4. Heat map: A heat map can be an interesting way to visually show which areas of your library get the most use or which books are most frequently borrowed.
Ultimately, the best graph or display depends on the nature and purpose of your data and what you hope to communicate to your audience.