New stronger battery, but which/how much more A?

Hello, as far as I know, a battery is installed ex factory which is just enough. If you buy a new battery, the one no. should be bigger. It’s up to now: 590A 60Ah 12V I would like to buy a Banner Power Bull (for tests always at the front with it, or test winner).What does it mean a no. bigger? The A or the Ah? Power Bull is available with: P6069: 480A / 60Ah P6219: 540A / 62Ah P7029: 570A / 70Ah P7209: 660A / 72Ah Is the P6219 (540A / 62Ah) or the P720 9 (660A / 72Ah) a number bigger? Or which one should I buy? (Car is a Ford Focus 1.6 automatic Ghia (full equipment, so many electric consumers) Thank you.