I have a 2 year old, who is very loud and screams at my rabbit a lot. She's in the kitchen full time and he doesn't have access to her, ever. I'm a SAHM, so I'm here all the time. The only concern I would have for you getting rabbits is your kids being rough with them. BUT at the same time, it would be a good learning experience for them, to learn to handle them the right way and learn to feed them. You can't start responsibility lessons too early!
Look through the library section on this website and see if you're able to give the proper diet, exercise time and attention needed to keep a rabbit alive.
I think getting a rabbit from a shelter would be good, that way it will already be spayed/neutered. Already an adult so you don't have to go through the terrible teenage phase.
Rabbits make great pets. They're all different. They're funny and really cute. They make you feel better when you have a bad day. But they also come with lots of worry, especially where diet is concerned. But the good definitely outweighs the bad. I love my rabbit, I would replace all my animals with rabbits and just have a rabbit herd if I could.