You're making it more complicated than it needs to be. You just need to go to the HW store and get a hole saw for cutting a hole in a door (like for a handle), which costs probably $5, then get a plastic cutting board, sit outside or in your garage (because it gets messy) for an hour or so and rub that hole saw back and forth on the screen until it's prickly. You need no power tools, only the saw itself.