Struggling with skates

I recently started taking some skating lessons at my local rink in hopes of taking up hockey and have been really enjoying it so I decided to get a pair of my own skates, but I’ve realized I feel like I’m skating better in the rental skates than I do in the hockey skates? I don’t know if this is just the fit of the skate or just me needing to get used to it? Ive found that I am unable to stop or do certain things in the hockey skates than that I can in the rentals. Any tips or suggestions?