It's been one month, naruto was single. After breaking up with hinata, there marriage was broken off, hinata was found kissing kiba and this did break poor blond's heart. Not bothering how he felt she lied to her kids, that it was her father who wanted to broke their marriage, which kids didnt belive, because it all happened in front of them so hinata lost in court, she lost kids custody and naruto got, which kids were happy.
Naruto looked after kids and asked them to spent time with him at his office, after their academy or mission is over. Mostly himawari was with naruto, where kawaki and boruto were training with sasuke or Konohamaru.
For some reason naruto wanted both his sons not to disclose about their divorce, especially to uchiha family, which the kids were curious to why, their father-mother( well now they refer to naruto as mother, for some reason naruto dodnt mind they addressing him that.) said more like requested them to not to tell . He said he didnt want them to get involved in their life with out any reason and uzumaki family are happy with out any ones help.
Naruto always completes his work early, if there is more he put a blood clone of his, just so that he can spent time with his kids more. Naruto now celebrates birthday with kids and kids are always happy with that.
Konohamaru almost all the time, he spents time with kids, he was more involved with uzumaki than others and naruto didnt have any problem with that.