There's a more detailed article coming soon, but for now, know this: Book walls or baskets full of books are the way to go for accessible book storage. They allow baby to choose books for himself and are relatively easy to keep tidy. For the remainder of your child's library, a storage unit or bookshelf is ideal.
Creating a book wall is stupidly easy. The Ikea Flisat wall storage shelves are perfect for displaying books. You can also search Etsy and other retailers for “spice racks” if you're looking for something a little different.