No one knows for certain yet except perhaps the author. But possibly yes, there are implications that it is a obligation to continue the legacy and line of Purebloods, thus there is a very big chance that they will have children.
But as said:
Facts are unknown.
Tohru likes kyo
Kyo kisses Tohru because he is in love with her.
Yes, Tohru does have children (at least one child) because at the end of the series, her and Kyo's granddaughter was looking for them and her mother told her to call them Oba-san and Oji-san, not Tohru and Kyo.
Tohru and Kyo's daughters name is Hye Kyo's. Their daughter has known to play in a few movies with them.
kyo was just a kid when he met kyoko (tohru's mom) when she went home from work. kyo later helps her find tohru who got lost
Kyo and Tohru didn't know each other as children, though Kyo knew Kyoko who told him about Tohru.
Generally speaking, in the manga: Tohru and Kyo love each other In the anime; there is a love triangle between Yuki, Kyo, and Tohru Tohru likes kyo because he's kind and gentle with her. He also has a dark past but stays strong.
Yes, they do kiss in the Manga only... when tohru got hurt and kyo kissed her. Also when they were holding hands Kyo kissed her lips
The little girl at the end of Fruits Basket is Tohru and Kyo's daughter, who is named after Tohru's mother, Kyoko. She is shown to have inherited characteristics from both of her parents, along with a love for the cat zodiac that Kyo represents.
Kyo's hat from when he saved her as a child.
No kagura was happy for them as she only loved kyo because she pitied him :)
no.yuki does. yuki piks up kyo's hat and wears it, then gives it to tohru after he helps her coz its not his and kyo doesn't want it bak coz he hates yuki.