wrapped Him in swaddling cloths: This was a common way to show motherly love and care (see Ezekiel 16:4).
a manger: This was a feeding container for animals.
there was no room for them in the inn: The word translated as inn does not refer to a commercial inn (a place where travelers pay to stay). Such inns were likely not found in a small town like Bethlehem. It more likely refers to a guest room in a private home or a simple shelter for travelers. Since there was no usual place to stay, Joseph and Mary went to an area where animals were kept.