Tame your bird
The most important thing is to tame your bird. It should recognise you, so that it doesn’t fear being with you. Otherwise, whenever the bird gets an opportunity, it will fly away to save its life.
Make sure your bird follows you in the house
Try making a connection with the Cockatoo, so that it follows you everywhere in the house. Feed it with your own hands and open the cage occasionally to see how it behaves. Once the bird starts trusting you, then you can take it out with you.
Trim the feathers
Even if you feel that the Cockatoo will not leave you, make sure you cut down the feathers, so that it cannot fly away.
Keep the Cockatoo in a cage
You can keep your bird in the cage and place it somewhere in the park, when you start jogging.
Leave it with other birds in the park
If you trust your bird, leave it with other Cockatoos in the park and finish you running.