Kylie put newborn Chicago West on full display Sunday in a pregnancy montage video she posted as part of her announcing her birth this week. You see Kim handing over baby Chicago to a then-pregnant Kylie ... and the camera zooms up on her face.

It's among the first clear shots of Kim's third child -- there was another good shot taken earlier this week of Chicago in a stroller.

As we reported ... Kylie broke the news Sunday in announcing her Thursday birth. She says her baby girl is "beautiful and healthy" ... no word on a name yet, though.