Hi Bill,
King Naptune was right by saying, "you've asked the mother of all questions". You'll meet NAUI divers who "hate" PADI, and vice versa, some will say one is better then the other. But with any training agency you'll choose, you're most likely to learn the same things. It really depends on the instructor or few different instructors that will train and teach you about diving.
Go to few dive shops, and ask some questions, meet the instructors, and if you know anyone who took the course someplace, get their opinion. You should also consider in what length of time you want to complete your confined water and lectures. Many places offer 1-2 weekends or once to twice a week from 2-6 weeks. You may also want to choose private pool sessions, just you and an instructor. So I can't recommend one agency or the other, just choose a place that you'll be comfortable with and an instructor that you like (if you can). But definitely go and get certified, diving is one of the most exciting things you'll ever do.
Just remember always be a safe diver, and keep our reefs alive by not touching anything under water.