If your neighbor really has trained his dogs, demonstrating control and responsibility, then you are in a good position to head off trouble.
Talk to your neighbor *before* you get your chickens. Explain what you plan to do, that they will be free range, and come up with a plan that you can both live with to ensure that you don't have dog-chicken conflicts.
These may include fencing between the properties, setting up training sessions with the dogs as the chicks grow, agreement about what hours your chickens will free-range, siting the coop so as not to unnecessarily taunt the dogs.
And remember, all dogs are predators. Whether they regard your chickens as prey and act on that depends on many factors, but all dogs are physically and psychologically capable of preying on chickens.
I'm currently working on training my guys to regard the chicks as part of the household, so that by the time they free-range, I'll have minimal training to do with them. Not no training, as a fluttering chicken running loose is a whole different level of temptation, but much less than if I'd just dumped a load of adult chickens into their lives.