An undergrad degree in Chemical Engineering then a graduate degree in Biomedical Engineering

Hi,
I am transferring in the fall to UT Austin ( I am currently attending a community college). I want to work in the biomedical engineering field, so I decided to pursue a B.S. in chemical engineering, and then, I will get a M.S. in biomedical engineering. I chose this path because I heard that biomedical engineering graduates have a hard time find jobs since employers prefer degrees from traditional engineering disciplines such as chemical, mechanical, and electronic engineering (I need to consider the job outlook of this profession because I help my parents to stay financially afloat- my father is disabled, and my mother takes care of him). Since I am getting closer to transferring, I am having doubts about my choice. Do you think that by getting a B.S. in chemical engineering, and later, a M.S. or PH.D in biomedical engineering would be a good idea? Or should I just pursue a B.S. in biomedical engineering and then pursue a graduate degree in biomedical engineering as well? Any advice you can give me, it will be greatly appreciated.
Thanks for all the help you can provide.
posted by Cathia, Mesquite on May 16, 2014