RE: differences in prop sizes
There are some problems that go with certain props. Don't sweat the reasons behind the problems but they're nice to know. You'll understand more about them later.
Props with the least pitch for a given diameter are usually less efficient props. They're also a bit more difficult for a beginner to set the needle for. But they often give the least range of flight performance differences. Sometimes they make a good handling engine become touchy.
Props with "fast pitches" are often a bit risky for a beginner to set the needle for. Plus, they often make the engine/airplane a bit difficult to land. They often won't let the airplane slow down. Sometimes they make a good handling engine prone to lean runs. Lean runs kill engines.
Lots of airplanes that would benefit greatly from a larger diameter prop don't have the ground clearance to run the sucker. ARF ARF ARGGGGhhhh.....