I hope I don't become a "grumpy old man"... but my wife says it was too late 20 years ago...
When we go to a "family campground", I am fully expecting to see and hear kids running around being kids. I rarely ever get annoyed with kids... I will be annoyed with the parents who didn't bother to teach basic politeness if the kids are cutting through sites or are generally rude, but I keep it to myself unless there is an unsafe situation. A few times I remember having adults in neighboring campsites come over to say hello - one time in particular a couple (who didn't have kids with them) came over and asked if they could use their campfire flame-color chips in our campfire as they didn't have a campfire, of course our kids gave a resounding yes. In talking to the couple later, they said it just wasn't as much fun to use stuff like that without kids!
When our kids were younger we went to mostly family campgrounds and had a great time... I overhear my now college age kids tell their friends how much fun they had camping.
The last few years I've preferred "rustic" campgrounds with no hookups. Funny how the campgrounds seem quieter, even if there are kids around. Seems like the kids are exploring the woods and surrounding area so much that everyone is tired by the end of the day.
Just get out camping and enjoy it!