It's worth separating this dream clearly from a taemong (conception dream), covered in its own article on this site: a taemong is specifically about foretelling something regarding a real, coming child, usually around an actual pregnancy. A baby appearing in an ordinary dream, without that context, is read much more broadly — as something new beginning in your life generally, not a prediction about parenthood.
A healthy, smiling baby is read as good news or a happy new development on the way — new beginnings that feel easy and welcome. A crying baby shifts the reading toward something needing your attention or care right now, often a matter you've been putting off rather than a crisis.
Being handed a baby by someone else is read as a new responsibility or opportunity arriving somewhat unexpectedly — not necessarily unwanted, but not something you sought out either. Losing track of a baby, or being unable to find one you were caring for, is read as anxiety about something important slipping from your attention.
This dream sits close to a fairly universal psychological reading too: babies in dreams broadly symbolize new potential across many traditions, not just this one, since a baby is about as clean and literal a symbol for "something new and unformed" as dream imagery gets.