Lisa,
Boy oh BOY, are you going to get a TON of CONFLICTING Opinions with this one! The thing to keep in mind is individuality. I have had a ton of breeds and each individual DOG had been different. My current group includes a toy poodle, a cocked spaniel, a German shepard, and a bulldog. We are DIVERSIFIED! LOL!
They all adore little kids. The GSD is the barker, but our previous GSD never barked. The poodle is the happiest and most playful. He never barks, and has not in his entire life offerred to snap or snarl (he is three) even when a friends' toddler jerked him off his feet by his ears! (yes, the toddler and I had a chat!) My cocker spaniel trembles with delight when he sees little kids. The GSD is a new stray. She is just learning what having a family means. She gets so excited she clobbers everyone. But she wont be like that forever.
I raised my kids with a golden, poodles, rottie, Boston terrier, and blue heelers. They were all great: I highly recommend the golden for disposition, but BOY DO THEY SHED! I do recommend the poodle and Cocker Spaniel for hugability, and no shedding. Though they do need more grooming. I clip mine myself, and its not hard to get the hang of. I think if you are careful how you acclimate your puppy, or get a young adult that already likes kids you have a good chance at a great dog no matter the breed.
After 20+ years of dogs with kids I would say go for an individual based on other preferences like size and coat. I truly ADORE my poodle and Cocker, but am looking to re-home them both because of coat and soil conflicts. We moved last year, and where we live now, they keep their pads pulled off and bloody because of the MUDDD. If you like the Aussie/Border Collie, you might find MY bulldog boring, but she is the sweetest, most huggy, people oriented dog I have ever had, besides my weimer.
The "breed" I recommend is RESCUE. I have had both rescue and home-raised dogs. Hands down the rescue dogs APPRECIATE you, and are devoted like a home-raised puppy can't begin to understand. Not saying a home_raised puppy wont love you... It's just a different mentality. Decide what is important to you as for size, and coat. Then decide on energy level. Now, start contacting rescues. I like dogs from foster care because the foster family can tell you about the dog, and can match you based on your criteria.