How could I move my broken ankle without causing more injury?

You should not. You should not move a broken ankle. On the contrary, you need to have it in a cast to make it temporary immobile. If you have not been seen yet by anyone, get a crutch and stop any weigh bearing and go to an urgent care of emergency room or to your primary care doctor if he can see you promptly.
Depends on type. There are many types of ankle fractures ranging from stable to unstable. Stable fracture patterns allow patients, when comfortable, to weightbear and move the ankle without causing any damage. The unstable fractures require immobilization and sometimes surgery as well.