Black head is a poultry desiese that usually results in the turkey's dieing, where as with Chickens they can survive, but remains in the chickens. It usually happens in wet climate. It is passed via earth worm castings. Those that live in wet climates need to be more careful then others. You need to ask you local Ag Agency if there has been any reported out breaks in your area if not then the likely hood is slim, but always possible. Also if there has been no poultry on the land that the turkeys will be for the last 5 years the likely hood is slim.
There are three main ways Blackhead moves between flocks. Through humans, new birds brought into your flock, and wild birds migrating through where your flock lives. I don't think there has been a reported case of Blackhead in the United States for some time.
As long as they get a long you should have no problem, but you need to remember that Turkey poults and Chicken chicks have different nutritional requirements. So during the brooding of both it better to keep them separate.
In any case you must monitor the health of your flock, the easiest way is to check there poop, it should be soft but solid most of the time. But is can be runny some times since they urinate through the cloaca also, but not all the time.
Tom