Tile floor is nice Here's a great article about mud rooms. We don't call them mud rooms in the Carolinas because we don't need a lot of heavy coats or boots. These rooms are drop zones in Charlotte. Great places to stow book bags and sporting gear.
beautiful cabinet color and mudroom design. You could consider adding a little bench that connects from mudroom side around wall leading to den. Would give some added storage under and another place for them to sit and get ready.