You can also do an instant cycle as long as you carry over the same bio load from your existing tank. Meaning, don't add any additional new fish to what you have already to give this a chance to work properly.
You accomplish that by taking the media out of your HOB filter (that is in fact where your bio is located and what helps support your system), along with any rock and sand from the old system. Remember, your bio in your filter presently supports whatever stock you presently have in your existing tank, regardless of water volume difference. No reason why your tank should not resume as did the old one. Your water is not the source of bio. That is a big misconception. All you are doing is moving it over to a bigger tank, with added water to what you had.
Think of it this way, if you could manually expand your tank to make it a bit bigger than it presently is, does one think you would need to cycle it again? If you added a fish or two to your exisiting tank, which increases the bio load, would you have to cycle it again? The answer to both is no.
Theoritically, if your water conditions are optimum, your old water serves no value to establish the new tank to start bio as that water should not have any at all of the much needed item to initiate a cycle - amonia. That amonia is only created by the fish, not magically.