The C rating is the amount of current that it can give compared to its capacity. A 10aH 1C can give 10 amps, a 2C 20 amps, a 15aH 3C 44 amps, etc.
There's a lot of things you have to balance when making decisions about kits. Weight and hills determine the torque you need. Your max speed is determined by the motor RPM and battery voltage. The controller has to give the current you need for the torque. The motor has to be able to handle the current. The battery has to be able to provide the current. It's capacity affects how far you can go. The bigger your motor and battery, the more power and speed you get, but the heavier it is, the harder to install, and the more cumbersome becomes your bike. High C-rated batteries can be smaller and lighter, but you don't go so far.
For me, the best balance of all these things comes from a 500w 270rpm 36v geared rear hub-motor with 20aH 36v battery and a 25 -30 amp (depending on weight) controller. You will be able to pedal comfortably on the flat at about 22mph, manage serious hills without much effort, and reach a distance of 50 to 70 miles. That's my personal preference. I've tried lots of motors with different speeds and powers. I have double and triple motored bikes. I like them all, but you can't beat the simplicity and robustness of a simple rear hub-motor.
When you go faster than that, the experience is not so much like cycling, and it would be more dangerous on cycle paths etc. Your bike would be heavier and less manageable. At first, it seems like fun, but soon becomes tedious. A motorcycle then becomes more attractive, especially when you also consider the cost.