I really don't agree with your incoming wishes. Also, as someone else has mentioned, we also need to consider getting HG players to get a full 25-man squad.
My comments on your wishes:
De Vrij is 30. We need a younger CB that can impact the squad in the future as well. Botman is inexperienced at the higher level. I'm not keen on that. We need quality and impact right away. Also, I understand he's a bit slow and not very agile.
Milan Skriniar would be a great transfer - if it's possible. If we're going for even younger, Ibañez, Jurrien Timber or Araújo would be interesting. The only problem with all of these is that they're right-footed - we probably need af left-footed one instead. I'm not sure about the possibilities there.
Kessie: We don't need another ball-winning midfielder (we have Skipp, PEH and somewhat Bentancur). We need a creative player. I would prefer someone that's also good at making runs of the ball. I would have loved to see Van De Beek in a Spurs shirt. Youri Tielemans would also be very interesting. Jude Bellingham is another (impossible) dream.
Ruben Neves could be interesting as well, but he is more a deep-lying playmaker. Not the guy who makes box-to-box runs.
But of course what we need is all up to how Conte wants to play (I'm not sure he wants a box-to-box midfielder and then Neves would be perfect).
Belotti could be interesting, as well as Sesko. However, the latter would probably not be satisfied with a bench spot. Would not be good for his development either.
Lamptey could be interesting. He's also homegrown! Max Aarons might also be a possibility.