Why do some pool companies offer such a big discount if the homeowner gets their own permit?
NEVER, NEVER, Get your own permit. This is good sign your pool builder is not licensed. And even if he is, you should ask him if you can pull your permit under his license name and number. That would be okay. If you get your own permit in your name, you are now the general contractor, and you are responsible for the people you are using to be properly licensed and insured as required by law. Ask your permit office if you can use unlicensed and uninsured sub contractors on your job. You open a big can of worms when you get your own permit.