Always Color in a Consistent Direction. This is my first tip. It will make a bigger impact on the end result than anything else and any age can use it! The changes in direction, shown on the red kidney below, on the left side, are what make it look sloppy, even though I carefully stayed in the lines. Coloring in a consistent direction, as seen on the other kidney, is easier on the eyes and ends up looking very tidy!
Concentrate on the basics. If you are just starting to color, keep things simple. Forget shading, burnishing, details and texture _ start off by block coloring and concentrating on keeping between the lines. Block coloring is simply the practice of taking your colored pencil and filling an area completely and evenly with that color. Get to know your pencil, feel the weight of it and practice control. Simply filling those spaces with color whilst trying not to go beyond the lines will help you master control and prime you for learning more advanced techniques.