Open Question: Help Please: Phlebotomist Jobs?

I'm planning on taking courses in the fall to get certified. I need health care experience before I can apply to a Physician Assistant program. What is the job market like for phlebotomists right now? Will I be able to find a job in January (preferably at a hospital)? I also have my B.S. in Biomedical Science...will this better my chances of getting a job, or am I going to need to get CNA training as well? Thanks!