The thing is that there are lots of credentials to choose from.

Keep in mind that the certification comes with leveling format. This means that you have to begin in the lower certification in order for you to obtain the higher kind of certification. So in this case, you are advised first to obtain your CPC before you can get your CPC-H.
Once you have successfully obtained your CPC-H, you are already allowed to work in hospitals and other outpatient work settings, but now you command greater expertise and salary in addition to taking on additional responsibility.
Before getting your hospital specialty certification there is a need for you to undergo a proper certification examination first. You can also have access to current medical coding books that will provide you higher chances of passing the advanced certification examination on your first try. Of course make sure to take some practice tests before taking the real thing.
So in case you plan to secure your CPC-H in the future, you already know that it is important for you to have your CPC first. See this page for more on getting your CPC in short order.
By making use of some review services online, it should be very easy for you to pass the certification examination concerned. Make sure that you also do your part to prove them that you are deserving of your CPC-H. As early as now, it is advised that you begin doing your homework.
See this post for more on things you can do to make a difference in the workplace as a medical coder.