1994 Oldsmobile Cutlass Supreme Question: Car will not start, but clicks...explain it to me like i'm a girl, lol, cuz i am

Financial situation is making it a necessity to fix things myself. I know how to check the oil and transmission fluid, but that's about the extent of it. And I taught my hubby how, so that's not really an option. The car was my grandfather's and it sat for 3-4 yrs before he died. We've put in a new battery and fuel pump in the last 3 months. The last week or so, when we would go to start the car, it took 2-3 tries before it would finally turn over. Now it's not turning over at all. It clicks, and we had Autozone check out the battery and they said it was fine. So what do I need to do next?