Victoria-nola, here's a pic from one of our BYC members, Mim, and her LGD and chickens.....
I'm currently training up a LGD breed pup on chickens and he's doing wonderfully....currently 10 mo. old and hasn't once even chased a chicken and he's been living cheek by jowl with them on free range since he was 2 mo. old. He will even share meals with them, even if it is raw meat, his favorite thing.
I'd discount by half everything you hear about LGDs....I've heard so much inaccurate information about what they can or cannot do around chickens these past 8 mo. I've had Ben and he's proven all that information wrong. I had a previous LGD mix dog and she proved them all wrong too. It's all about getting the right temperament pup and doing early and often training on them.
It's worth it to have peace of mind about the flock and predators....I don't have to build a Ft. Knox coop, nor even shut my pop doors at night and that's all year round. I don't have to bury fencing around a run....I don't even have a run and haven't had one for years upon years. I have minimal predator losses over many years of doing this and I'd never do it without the dogs. Even if I kept my chickens in a coop and run, I'd still never do that without a good dog or two out there all the time. It's like having good homeowner's insurance.....it's just a smart thing to do.