What advice would you give others who are transitioning back to civilian life?

Choose carefully what to use your MGI Bill or post 911 on. And use it fully.

When making the transition, most of us are (were) finding our way into a new culture. The ability to "flex" is a necessity. Therefore, I would preclude any long term commitments until you are settled into the civilian side. For example, rent versus own a home. Don't buy/lease an expensive car/truck on a long term contract. Don't go on a spending spree for furniture, clothing. You don't have to stop cold, just keep it light in case the dream position/location pops up six or seven months after your exit from the military.
You'll know when you feel comfortable in your civilian life to turn on the long term spending.

Remember where you came from and the professionalism you've learned. Stay humble and positive. Like anything, take it one step at a time. You will have so many opportunities awaiting you. Take what you've learned in the military and run with it!