From the replies so far the biz jet climate sure sounds dismal? Well, for the OP I can say that you can also make a solid career in biz jet flying. I have been at it since 1989...now on job number 3 and only left the previous 2, reluctantly, to pursue further career advancement. For past 12 years with same private owner/GLEX with well above average pay, benefits, and most important, quality of life. I never went the airline route so can't compare.
My advice: start with the basics and get some good experience...King Air, CJ, etc, make friends not enemies, have good work ethic and you will move right along. Much of your future success has to do with your attitude...people will notice a good attitude...they notice the bad ones too....as you can see from some of the previous posts.