To be honest, kids and puppies don't mix well. However well intentioned the children are, they don't have the best body language and they can't control their reaction to pain (puppy bites) like adults can so tend to excite pups... then become a target in play or otherwise. It's a totally different story with older well socialised dogs and young children, but in my experience but children are not good at teaching or helping to manage puppies.
Personally, I'd rather sacrifice a year or so and get the pup sorted then let them develop their relationship with the children from there. I actually kept my last pup separate from my (then 4/5 yr old son) after much heart ache, with a baby gate for nearly a year and they were only allowed supervised play with the pup on a long line. Today (that pup is nearly 3yrs now) they have THE BEST relationship I could ever want because it never got out of control in the early months so the pup has a healthy respect for my son and my son has learnt a lot about dogs. He grew up with a cocker so was very dog savvy, but that cocker was 1 when he was born and well socialised so became an instant 'nanny' to my son very happily as he was mature enough to put up with toddler + behaviour by the time my son was on the move.
I've since had another baby and both the second demon pup and my older dog are brilliant with her - the baby is now 14 months and I trust them both around her even though she's climbing into their bed and pulling their tails/ears and fur a bit at times - the dogs know I'll always stop her and they're rewarded for being patient but a pup hasn't learnt any of that nor does it understand that children are different to adults and need a bit of caring for. So even a child pulling away fast from a 'puppy nip' is just an encouragement for the pup to start to play up with them.
I agree with what's been said above, don't let your daughter 'sort her out' or be too physical with her at the moment. Let the pup mature and give her consistent boundaries and guidance from adults for the time being then when she's matured, your kids can be a bit more involved.. it's not fair on either pup or kids to expect good development of behaviour between them at the moment. Children are often a little too 'in your face' for a pup to realise where the boundaries are and it will only confuse the pup at this point in her development..
I promise in a few months it will all suddenly start slotting into place but for now, a bit of space between pup and kids is a really good idea and great investment for the future
Hang in there!
