I'm currently designing a bathroom with the laundry hamper in a pull out drawer incorporated into the vanity. Very convenient. The same bathroom will have a storage area in the medicine cabinet towers that will hold electrical items such as hair dryer, electric toothbrushes and so on, with electrical outlets within.
My personal best tip for maximizing storage in the average bathroom is to replace under sink cabinets with pull out drawers. Drawers can be made in a "U" shape to pass around the sink plumbing. That under sink space is the most wasted space in bathrooms.
And with this picture again with using open space and baskets which I think might be easier to manage than drawers for a toddler. Love the under sink drawer ideas.