Do you have normal feet?
If you've examined your foot or used the footprint test and were unable to determine if you have a high arch or a flat foot, you may have a normal foot. (Really, it should be called neutral, because it's not actually the most common type.)
If your foot is normal, when you look at it, you won't notice a particularly high or low arch. If you use the footprint test, probably the best way to tell for this particular type of foot, you'll see the classic "footprint in the sand" footprint. There will be a noticeable curve inward, but not by more than 3/4 of an inch at it's greatest part.
If you have normal feet, you can choose from a wide variety of shoes including shoes made for normal feet, shoes made for slightly flatfooted feet, or shoes made for slightly high-arched feet. You don't want to get anything that mentions it has a lot of stability/motion control. You are also less likely to get injured, unless you pick a shoe that is counteracting your normal foot.
Now that you know your type of foot and what type of shoe that equates to, the only other thing you need to consider is what kind of running you plan to do.
