If the makeup is too heavy, apply moisturizer to those areas affected and blend. If you have bags under your eyes, use concealer. If you don't have bags or unsightly blotches, you don't need concealer. Concealer should be applied like dotting i's, and then should be very gently blended. It should be a shade lighter than the makeup, and if you don't like getting your fingers dirty, you can also apply it with a brush.
Powder is important as a sealer.
If you don't use it because you don't want to make a mess all over the place, the trick is to sprinkle a tiny quantity onto the palm of your hand, and to then pick it up from there with a powderpuff. The same technique works for loose powdered eye shadow except that you pick it up from your palm or the back of your hand with a brush instead of a powder puff. Before applying eye shadow, you should put make up and loose powder on your lids. Also put powder under your eyes so that if the eye shadow or mascara spills during application, it will be easy to brush off. When putting on your eyeshadow, don't stretch your lid from the outer corner.