Razor blades are small. Assuming parent poster shaves every single day of that ten years, and each blade only lasts for two shaves, they'd need about 1830 blades.
That's 19 boxes of these, which probably fit in a shoe box.
Given that he mentioned dropping $1000, I'm guessing he's talking about cartridge blades (e.g. Gilette Mach III), that cost a couple of bucks each and take up probably 20x as much space when packaged. Still not that much actual space needed. A small moving box would probably hold decades worth; definitely if stripped of the outer packaging.
That's 19 boxes of these, which probably fit in a shoe box.
https://www.amazon.co.uk/Derby-100-Extra-Shaving-Blades/dp/B...