1. Find a good shaving device – whether it's a manual razor or electric shaver – that gives you the results you are looking for. If you cut frequently with a manual razor, you might consider an electric shaver like the one I use since they tend to produce fewer cuts.
2. Replace disposable razor blades before they wear out. Dull blades tend to cause skin irritation, poor shaving results and cuts especially if you find yourself pressing down too hard on the razor to compensate for the dulled blade.
3. Before you start shaving, ensure your face is moist (ie. with water) and use a good quality shaving cream or gel.
4. Avoid shaving against the grain. In other words shave in the direction of the hair growth. Shaving in the opposite direction of the hair growth can irritate skin and cause ingrown hairs.
5. Try using a face moisturizer after shaving to help protect your skin. I've found that it's preferable to using aftershave.