I would strongly recommend this book for the newcomer. If you are unable to get over this fear, the solution is extremely simple. Pre soak the meat in grapefruit seed extract or food grade hydrogen peroxide to kill off any germs. I have never bothered, but the extra step may be worth it if it gives you more peace of mind. If you cook them that's a different story.
Cooked bones are brittle and can splinter and cause problems.
Raw bones, such as those in chicken wings are actually flexible to some degree and break clean. Dogs and cats are carnivores and have been designed by Mother Nature to consume and digest raw bones as part of their normal diet. There are many books on the market that provide a number of different recipes for preparing your own pet food. Just as different grandmothers fed variations of diets to their animals, there is no one right way. The underlying principals though remain the same.