"The 'problem' with chemical engineering is that you design the plants infrastructure rather than design chemicals. To generalize this rule-of-thumb, a chemical engineer designs the pumps, pipes and tanks to transport chemicals, whereas the chemist designs the fluid that is being transported. "
I wouldn't generalize quite that much. It is true that chemical engineers have more training and familiarity with chemical process equipment, but the job of a chemical engineer is also troubleshooting. Problems can arise which are purely mechanical in nature, purely chemical in nature, or a combination of both, and the chemical engineer is uniquely situated to address all three.
I am currently working for an oilfield production chemical company and the engineers that work for us have a sound knowledge of the production facility equipment and what can go wrong with it. However, a solid foundation in chemistry is also very useful when the chemical we sell malfuctions or causes problems, when we need to decide what chemical to sell a customer for their specific problems, and in finding out what could be causing the customer's problems (corrosion, scale deposition, wax deposition, etc. all involve chemistry immensely).
What I enjoy most about the work is the ability to troubleshoot a problem to find out exactly what is going wrong and how to fix it. With training in chemistry and chemical engineering, you will be very capable of solving a wide spectrum of problems.
I have a degree in chemistry and was thinking about going back for master's in ChemE, but I had heard that many times a master's degree will push you into research positions and out of regular engineering positions since companies may not want to pay a master's degree salary for a job someone with a bachelor's degree can do. So I went back for the ChemE degree and absolutely loved the curriculum. It does deal with mechanical/chemical process equipment but typically only as it relates to the chemical process industry. You need to know how to use chemistry to acheive a particular goal, but a knowledge of the equipment available is also necessary so that you can apply that chemistry to solve industrial problems (you're not just going to use a giant beaker when you build a chemical plant).
I would say go for it, especially if research/lab work isn't something you want to do for the rest of your life. The pay and the job opportunities are much better for a bachelor's ChemE than for a bachelor's chemist and you get to do much more exciting work in my opinion.
Hope this helps.