There's no single right way to do things, especially in the corporate world. Corporate aviation jobs are often snagged due to networking. So, that's your first big clue- NETWORK!!!
If you're flight instructing at an FBO, start chatting up pilots who are based there or who are there on trips. Get to know them, be likeable and show them you're a smart, honest person. It could go a long way some day.
Corporate flight departments typically want a bit of experience, but again, this isn't always the rule. Sometimes they'll bring those with lower time in and have them sit right seat for a couple of years. Some will pay for your training (type ratings), while others will require a type rating already or have you sign a training contract.
Gotta run, so not much time to expand on anything, but I'm sure others will chime in. Good luck, and don't forget to network!
