Carrying the cross mainly means that people will pay the price for following Jesus Christ, that is, he will be misunderstood and persecuted by others like being crucified. At the same time, people are also required to reflect on themselves at all times and always know that they are guilty, but our sins are forgiven because of the redemption of the cross of Jesus.
You can search online for videos of famous Christian priests preaching. There are videos with the theme of the cross. See for yourself. There are many things in it.