From the Electrical Engineer's Reference Book by Laughton and Warne:
In general, charges may be at rest, or in motion, or in acceleration. At rest, charges have around them an electric (or electrostatic) field of force. In motion they constitute a current, which is associated with a magnetic (or electrodynamic) field of force additional to the electric field.
This is just a layman's definition which shows the difference between a charge at rest (a coulomb) and a charge in motion (an ampere). An ampere really is Coulombs per second. But for a current to flow, there has to be a potential difference.
To be frank, I really can't say why the Ampere is taken as a base fundamental SI unit like the kg or meter, but I guess the people who did it might have had good reasons for doing so. Convenience of measurement and ease of reproduction could be two. And then again, you'd have to change your perception of a base unit. It does not have to be something given like the kg or mole. The base unit can be used to define others. Like 1C = 1 A-sec. Thus, the coulomb could also be defined as the charge carried by a current of 1 amp for one second. Even the candela is lumens per steradian, but the candela is a base unit. I hope you got it.
This may not be really related to this topic, but if people are serious to know more, watch MIT's Prof. Walter Levin's lectures on Electricity and Magnetism. Damn interesting, engaging and definitely not boring, the way they usually teach in Indian colleges.
Here's the link to the 1st lecture: *www.youtube.com/watch?v=3omwHv3Cmog
Edit: Here's the full list, just in case: *ocw.mit.edu/OcwWeb/Physics/8-02Electricity-and-MagnetismSpring2002/VideoAndCaptions/index.htm