Thanks for the additional information. I really appreciate it.
So first, most any dog will chase deer out of the yard once it's established in the home. Dogs are naturally territorial, so once the dog looks at your house as 'home', it'll want to chase the deer from the yard.
Also, once you had a dog living there, the deer will be able to smell them and will likely stay away from the house simply due to the scent.
So...a couple options for you on dogs who would work well with the kids and not have such a high prey drive that they're chasing the ducks/chickens....
Boston Terriers: http://www.animalplanet.com/tv-shows/dogs-101/videos/boston-terrier/
Bichon Frise: http://www.animalplanet.com/tv-shows/dogs-101/videos/bichon-frise/
Bearded Collie: https://www.youtube.com/watch?v=L7SZE8r7RtU
Regardless of which dog breed you choose, keep in mind that the best way to train a dog will be to get it involved in obedience classes right away and then work with it at home.
I hope this helps.