Ok so I found the hard card cases. I’m not terribly sure if it’s the same, but here.
Ultra Pro 25 3 X 4 Top Loader Card Holder for Baseball, Football, Basketball, Hockey, Golf, Single Sports Cards Top Loads - Sportcards Card Collecting Supplies (2 Pack) (1 Pack) https://www.amazon.com/dp/B004KHV24W/ref=cm_sw_r_cp_api_glc_fabc_K5S2FbZ7RG7SK?psc=1
If by soft you mean the transparent ones, he uses [Perfect Fit Penny Sleeves](perfect barrier card sleeves (100 piece), clear, 64 x 89mm https://www.amazon.com/dp/B0007N7PB2/ref=cm_sw_r_apan_glt_i_8793YQJJF4RTKF4AE9RM?_encoding=UTF8&psc=1)