Lot of great posts in here, some have had and posted experiences that I share(d), so I will not repeat them. I started out as a field sales engineer (outside salesman) with just a high school diploma (college Prep), and got lots of hands on training in real world production and products. Specifically painting, plating and cleaning equipment used in manufacturing, repair, and remanufacturing. Got me in the back door of nearly every plant and factory in Texas in less than 5 years, where I worked with plant engineers to help them use the products I sold and serviced. I went back to school many years later, to get an engineering degree. I looked at all of the options, and decided that at the time, Chemical engineering was going to give me the most future options, but I practice a mix of industrial, bio-chemical, environmental, safety and civil engineering.
Many people with engineering degrees end up moving onto other areas where they use their engineering degrees, but not in the way they planned. Some go onto patent law, for instance, journalism, management, research, sales, marketing, or systems integration (as mentioned already) etc. Good reading writing, and inter-personal people skills are real important for those areas. Also speech class, as you may end up needing to make public presentations! Top math skills are a must.
Best advice I can give is do some real hands on Tech work in the field first (on the job training) in an area that you think you are interested in, before picking the more narrow field.
My last thoughts are these, the merging of biology, computers, and engineering, Bio-medical-chemical engineering is going to be the new high demand kid on the block. The ones that can understand complex bio-chemical, bio-medical, and computer electronics and software, and micro-NANO-device technology are going to be the new kids on the block for the next 20-30 years. Yes, Borg Technology! My university has already created a new college of Bio-Chemical and Bio-Medical engineering to cover the new inter disciplinary fields as they already see it happening!
Good luck!