Use good quality crayons (Crayola works well) for the best results. Making the fill color darker around the edges is a good technique for adding dimension. As you work, don't press too hard. It's better to add layers of color than to have too much color that you can't remove. Take care to color evenly and without causing color streaks. When you're finished, place a piece of scrap fabric over the coloring and iron the paper on a high setting. This will heat set the coloring and remove excess wax.
Professional level pencils like Derwent or Prismacolor offer the best quality and typically are the most expensive pencils to buy. The wax in these pencils is softer and the colors are a higher pigment providing brighter colors. The soft application allows blending and shading.