I wonder if Tottenham have a Plan B in case of Kane's departure this summer. Because Bayern Munich still seem determined to sign him. Some rumours say that Tottenham might go for Lukaku but I don't feel like the player would accept any offer from them. He is favouring Inter much more than any team interested these days.
But Tottenham still should be able to find a decent striker to fill Kane's place. They don't need to sign a world star like him as well. Because even though they have one now they still can't win any title. They need to focus on improving their performance as a team and then they can be more successful even with just a decent level striker.
Kane should change teams because, in my opinion, he has been with Tottenham for a long time and it would not make sense for him to end his career there. In fact, as a good player and a good striker, it wouldn't even make sense for him to remain there. Tottenham is still considering moving for Kane because, according to what I've heard, the team declined the offer that Bayern Munich made to acquire him. Although I am aware that Tottenham would suffer without him, I think the money Tottenham receives for selling him will be enough for them to replace him with a capable striker.
Lukaku always wanted to stay at Inter Milan, and he rejected an offer from Saudi Arabia in addition to Tottenham's desire for him, so I don't think the move will go through. I think he won't even consider the offer that Tottenham would present since he really did mean it when he claimed he could only play for Inter Milan. Since there are many teams who have good strikers, it would be wise for Tottenham to hunt for another striker.