These are genuine Converse brand shoes. Every size in these are hard bottoms/rubber soles. There is a size chart in the listing photos for your to consult prior to purchasing. During check out you can put a name in the box provided for me to put on the shoes or you can put "no name" in that box if you prefer to not have the shoes personalized. Walker and toddler mean the same thing as far as sizing goes, so if it says "7 walker" that means 7 toddler. Choose your shoe size and color during check out. Leave name in the box provided.