As I said above, "I guess I've gotten lucky all these years picking healthy fish."
If you have "safe" water to put back into the stock tank, by all means add some of that water to the new pond. Again, it will help get things cycled in the new pond. Probably best to get your filtration running ASAP on the new pond, no matter if you have filter media or water from the stock tank. If you keep the water moving, not as much chance of skeeters breeding in there. I had my first pond up and running for 3 weeks before I added any fish, and then I did use the feeder fish to "test the waters". I totally understand where HTH is coming from, saying you're taking the chance of bringing in disease. I took the chance, no problems, fish lived, still have them. Quarantine is always best, but I've never done that either. Again, I've gotten lucky, it's not the way to do it and I don't mean to suggest that it is the way you SHOULD do it, just the way I did it and no problems. It's probably one of those lessons you only learn the hard way once.
Another lesson someone else learned the hard way and I learned from them (thank goodness) is if you have a submersible pump, do NOT put it on the bottom of your pond! If you have a water line failure outside of the pond, you will drain your pond and have dead fish within the hour.