Awwwwe, Zeus is so cute!
I can't give advice on raising kids around dogs as I don't have kids of my own, but usually if the dog is of a friendly personality and well socialized, they should be fine even around strange kids.......... ..at least I've found that the case with my own dogs.
I wouldn't worry about socializing him around other dogs either, even small dogs. Most small dogs can hold their own just fine and tolerate puppies much more than adults. Heck, Gunther outweighs my smallest, Posey, by about 120 lbs and they have decided they are boyfriend and girlfriend and adore one another (even if Posey is still occasionally intimidated)............lo l.