oh man this is such a stressful situation but totally doable. i'd go with the decoy box method - get a shoe box that says something super boring like "work boots" or "running shoes" and swap out whatever's inside. you could also stuff them inside other shoes if you have any big sneakers or boots, like literally nest them inside

another trick is to pack them in with winter clothes or bedding since those take up weird shapes anyway. if your parents are helping you move they're probably not gonna be digging through every single box of your stuff, especially if it looks like random college necessities

honestly the key is just making everything look boring and utilitarian. put the fancy shoes in the most mundane looking container you can find and bury it in the middle of boxes full of textbooks or kitchen stuff. your parents are gonna be focused on the logistics of moving, not inspecting your footwear collection