It may be rough if you are getting a puppy. They tend to do a lot better if they can have company when they are young, and I imagine your kids are in school all day, and they may have extracurricular activities afterward.
Getting an adult dog is a lot easier for someone who works all day. Imagine if you were asked to leave your two-year-old daughter alone at home all day. As an eleven-year-old, I am sure she can handle it, but as a child? That is what a puppy is like.
If you do decide to get the puppy, remind your daughter that the dog will be alive until she is in her mid-twenties. Is she still going to take care of the dog at that time? Since her life may change in many ways in the future, will you be willing to care for the puppy?
I cannot tell you for sure how the puppy is going to work out since there are so many crosses involved. Poodle crosses can do okay but are also bred from hunting dogs and may develop bad habits if left alone all day. A dog that has already gone through their puppyhood is less likely to develop problems.