I've seen post after post after post after post with this very same question here at the AAPC, on LinkedIn, and even in Facebook. While I'm still waiting on my billing/coding job, I can give you the following advice which was given to me....
A foot in the door job!
What I mean is don't limit yourself to a billing/coding position.
If you have no medical experience as I did going into this, your best bet right now is to look for a position as a receptionist, in medical records, in a call center for a medical practice.... Basically, anything in a hospital/medical practice just to gain some sort of medical experience. Once there, you can always remind them that you are very interested in billing/coding.
If you have medical experience, draw off of that during your job search. Highlight that in your resume. Make sure that hospitals/practices know that you already have medical experience which will help them with their billing/coding.
It was also suggested to me that I volunteer for experience. Volunteering (i.e. internship/externship) is a great way to gain needed experience.