keeping my hens in a peaceful setting where the kids can visit them as pets and not worry about the kids (6, 8 and 10) being hurt.
2-- What if they free range and can see the hens if they venture that far (about 50 feet maybe, could be further but then they'd be closer to neighbors I don't know as well) but the hens are in an enclosed run?
These two ideas do not go well together. If you want the children to play outside safely, and visit the hens, you do not want the roosters free ranging in the same area.
If you try to keep the males, I would strongly recommend you provide a run for them, rather than letting them loose all the time.
Can you maybe get a dog kennel? The kind with panels made of chain link or similar material, plus some kind of a cover to keep chickens in and rain out, can work reasonably well as a chicken run.Since it may not last (if ppl complain) I don't think I can convince my husband to spend another week and Lord knows how much money building another run!
It is not completely predator proof, given that some predators can rip through the usual tarp-type roof and reach through the chain link, but it does contain the chickens and does protect from many daytime predators (hawk does not see chickens under the cover, stray dog cannot get in to get chickens, even raccoon is slowed down because chickens run to the opposite corner.) For nighttime safety, shutting the chickens in a secure coop would work.
And if you do not keep the roosters long-term, a dog kennel can come in handy for many other situations when you need that much fence (example: if you have a patch of weeds and want a garden, put the kennel there and let your hens eat weeds & scratch all day, and at some point it will be nicely weed-free.)