If you put all of the fish and all of the filter media into the pond at the same time, you've still got a good cycle. Add some new water to fill the pond and you should never see ammonia. The fish will still be making the same amount of waste, diluted or not, and as long as your turnover is good, the bacteria will still 'have at it' at the same rate as before. The water itself contains very few bacteria, so don't be afraid to add new water to your existing biology. Most of the BB is on your tank surfaces and filter media. Keep them with the fish and you're good to go. You can squeeze the muck wherever you want. It will find its way into the filter. And there is no point in adding muck (BB) to an empty tank or pond, it will starve without fish waste to feed it. You'll also have an easier transition if you acclimatize the muck. Seriously. Put the media in a bag, float it in the pond and add new water gradually. Bacteria can be shocked, too.
Or, if you plan to keep the previous tank operational, transfer half of the fish and half of the muck. Then make small changes later, i.e. more fish.