And she brought forth her firstborn son, and wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn. luke 2.7And this shall be a sign unto you; Ye shall find the babe wrapped in swaddling clothes, lying in a manger.(v12)
And he sent them to Bethlehem, and said, Go and search diligently for the young child; and when ye have found him, bring me word again, that I may come and worship him also.Matt 2.8
Since the Inn and all other places were full then obviously the wise men would go where Jesus was.
Herod killed all UNDER two years.
"slew all the children that were in Bethlehem, and in all the coasts thereof, from two years old and under, according to the time which he had diligently enquired of the wise men.Matt 2.16