Well you have to look at four families as reference.
SS. Since Sakura raised Sarada on her own it gives you a sense how she would raise her children and how they would turn out whether she is with anyone or not.
Kizaishi and Mebuki from what little we seen of them Mebuki is the strict authority figure and sets the rules while Kizaishi just goes along and jokes around. Kishimoto also says they argue a lot.
Minato and Kushina again from little we see from the Ninja movie Kushina is the aggressive authority figure who sets the rule, while Minato goes along with as a sort of moderator.
And Kishimoto's own family life. His wife had to raise the kids and mange the house as he had to work all the time on Naruto. Of course he portrays his frustrations and guilt with this with nH due to not connecting with that pairing. But I do see if NS happen he would have went more hopeful and optimistic.
So, I see NS as Sakura running the household as the authority figure setting the rules while Naruto has to spend a lot of time running the village as Hokage. Naruto while busy I see him trying to make time a be there when he can and help out when he can. Granted I can't see Sakura letting the situation get as bad as Hinata let it get to by Boruto, and would address the situation if Naruto was neglecting their kids. Arguments/Conflicts happens and they are often resolved, but overall a loving family. The kids are hyper but well behave.
let me add a bit to this i see the NS family as full of love and affection and very playful until its time to be serious than the gloves come off so to speak, Also the kids would be pranksters but not as a need to seek attention but a need to prove themselves, Awww but mom dad once painted the 5 faces of hokage monument we had to one up him with all 7que exapserated sigh and nostalgic smile