A mudroom should have easy to maintain flooring: linoleum, tile or high quality laminates are all options. Another thing to consider is where to put coats and boots, etc. A shoe cubby is a good idea. Some people prefer coat hooks for easy access. Another solution is to have a coat closet in the room.
Ensure that there are sufficient storage for seasonal outerwear, a seat for taking off boots/shoes, and a large boot/shoe tray to store we or muddy shoes.
Your mudroom should have space for muddy shoes and boots, cubbies and hooks for jackets, toys, sports equipment, a bench, and a floor that is easy to clean.