Does rebirth or reincarnation occur in Buddhism? How is the concept of rebirth or reincarnation handled in Buddhism? Does it occur? Will everyone be reborn? Are people always reborn as people?
Simple answers for last three questions as far as I know,

Does it occur ? Yes it is

Will everyone ? Yes until someone attain Nibbana

always as people ? No, it can be any(animals/human etc)

But the first question is too broad to answer.

You can find more details in this article about recantation.

Simple explanation for recantation as according to that article,


  Reincarnation is not a simple physical birth of a person; for
  instance, John being reborn as a cat in the next life. In this case
  John possesses an immortal soul which transforms to the form of a cat
  after his death. This cycle is repeated over and over again. Or if he
  is lucky, he will be reborn as a human being.