There has been so much fantasy written about these men, but the Bible story is very different.
1. Nowhere does say there were three of them! This misconception came from the Bible account that tells us they brought three gifts. There were probably many more than three bringing the three gifts between them.
2. Nowhere dooes it give their names as Melchior, Caspar and Balthazzar. This is a medieval invention.
3. They were not kings. The Bible says they were 'wise men' who studied the stars, not kings.
4. No one knows their colour or race. it iis likely that they came from Persia but this is also speculation.
5. They did not arrive at the stable along with the shepherds. The crib scene was an invention of St Francis of Assissi one Christmas to tell the Christmas story, but the idea that the wise men came to the stable is wrong. The Bible account tells us that by the time they arrived Jesus was already living in a house in Bethlehem.
6. The likelihood is that the wise men arrived when Jesus was a toddler - around 18 months to 2 years after his birth. This can be inferred from the Bible account that Herod decided to kill all boys 2 and under to ensure that he killed Jesus. Why do this if Jesus was newly born? The answer is that he wasn't - he was at least 18 months or around 2.
So the wise men must have taken around 2 years after the birth of Christ to find Jesus.
Sorry to destroy the romantic myths about the kings around the manger scene - Although the crib scene reminds us of the wonderful miracle of Christ's birth, it never really happened like that. The Bible makes that very clear.