Thank you ALL for your input! I'm going to plug in the fence now, thanks to your reassurances. And I'll probably find out pretty soon how many times the neighbor's dog will test it. He's a pretty smart dog, so maybe once will be enough!
My hens will be very glad to have some more freedom. I've been keeping them in the fully enclosed part of the coop until I got the electric fence working. It's technically "big enough" but they sure enjoy being let out into the larger yard to scratch around and spread out. Also, having the larger space is going to help me introduce the new chicks to the grownup hens. I'm thinking that the more space they have, the more likely it will be for them to live and let live until they are all fully integrated.
Again, what a great resource backyard chickens is! Books are fine, but being able to ask real people with real experience is the BEST!
Kathi