For anyone else considering the seasonal pursuit of carving a pumpkin and spending time looking through dollar store toolkits or scrolling through dozens of identical crappy plastic tool sets in attractive clamshell zip cases on Amazon, let me save you some time.
The magic term you want is "drywall saw".
(If you're one of those maniacs who uses high speed rotary tools on your gourds, disregard my words. I have no wisdom for you.)