I am not an aerospace engineer, I'll put that out there first. I would like to present what I have seen though.
I recently left a job that had me working with aerospace engineers. I worked with United Launch Alliance, SpaceX, Orbital ATK, and a few others. There is a large demand in that field, to the point of them randomly asking if I know anyone who is an engineer and looking for a job. Word of caution, SpaceX sucks to work for.
Space launch is growing at a fast rate. They don't have enough engineers to keep up, and this isn't going to change soon. There will always be a demand. I think it's a great field, and opens up a lot of possibilities.