It will be interesting to see how the Cambridges work together as parents. I know Will hated the paps, even as a child, and he has more reason now to feel protective of his wife and child with regard to them, given what happened to Diana. I expect he'll want as normal a family life as possible and may fight for that if he has to do so. I wouldn't even be surprised to see him stand up to his grandmother, queen or no queen, if she gets too critical of how he and Kate are choosing to parent their child, though he will have to strike some kind of balance between providing the English people (and the rest of the interested world) some access to, or at least glimpses of, their child as he grows up, since he'll be third in line to the throne and his interest in the boy having a reasonably happy, stable childhood.
I know some are already speculating that the Middletons, whom Will enjoys spending time with, will help quite a bit in providing a relatively normal, non-royal family environment for the Cambridges, as they're a close family who have the option of being more relaxed than the royal family.