Fortunately, I have had a good run in part 91 corporate aviation. My current flight department has been in continuous operation in one form or another, through many mergers and acquisitions, since 1955. Flying for a large public company is about as good as it gets stability-wise, but honestly, there is no such thing as a safe and secure path in aviation. Our entire industry -- including airlines, long haul freight, cargo, corporate, charter, you name it -- was and always will be volatile in terms of job security.
The challenge is arriving at that good, steady, long-term "landing destination" in one piece. Aviation has a way of chewing people up and spitting them out. Many of the pilots I started flight instructing with are no longer flying. But many others are now senior captains with the airlines, or flying for good corporate operators.
There's a "dues paying period" for nearly all of us. This means tougher jobs with longer hours, less desirable schedule, lower pay, maybe even equipment maintained to less than a sterling standard. It seems to be a rite of passage in our industry. It's difficult to cross this gap without plowing through it the hard way. There are exceptions, but they're few and far between.
But this is the best time ever to be a pilot, so do your best and you might be surprised at what you come up with.