Rocket Size

Were Apollo Saturn rockets big enough to reach the moon. Where was all the fuel they'd need stored?

The majority of the Saturn rockets were required to place Apollo 11 into an orbit of only 100 nautical miles high. After that other factors come into play; speed given by the angular rotation of Earth (they don't put the launch site near the equator just for the sunny weather) and the fact that once you're moving in space nothing will slow you.

All that was required from the rockets beyond this was to escape the initial Earth orbit (the "translunar injection", no small task, but not requiring as much effort as the initial stage) and any minor adjustments on the way. What it's really doing is establishing a bigger, 'loopier' orbit of Earth that will make it cross the path of the Moon's orbit. Once there it does another minor burn (the "lunar orbit insertion") and it's in a lunar orbit instead. So the rockets don't burn anything like all the way there and they never 'escape' from Earth's gravity.  It's all done with orbits.

A lot of this 'proof' of a hoax is usually based on a comparison with the size of the Space Shuttle's fuel tanks and rockets. No consideration about the relative size and weights of either crafts. The Apollos actually jettisoned most of their rockets and weight once they have left the Earth, leaving behind a comparatively tiny orbiter and lander. The Shuttles, on the other hand, come back down pretty much as they left.