The only three times the term "Christian" is used in Scripture.
Act 11:24 For he was a good man, and full of the Holy Ghost and of faith: and much people was added unto the Lord.
Act 11:25 Then departed Barnabas to Tarsus, for to seek Saul:
Act 11:26 And when he had found him, he brought him unto Antioch. And it came to pass, that a whole year they assembled themselves with the church, and taught much people. And the disciples were called Christians first in Antioch.
Act 26:27 King Agrippa, believest thou the prophets? I know that thou believest.
Act 26:28 Then Agrippa said unto Paul, Almost thou persuadest me to be a Christian.
Act 26:29 And Paul said, I would to God, that not only thou, but also all that hear me this day, were both almost, and altogether such as I am, except these bonds.
1Pe 4:14 If ye be reproached for the name of Christ, happy are ye; for the spirit of glory and of God resteth upon you: on their part he is evil spoken of, but on your part he is glorified.
1Pe 4:15 But let none of you suffer as a murderer, or as a thief, or as an evildoer, or as a busybody in other men's matters.
1Pe 4:16 Yet if any man suffer as a Christian, let him not be ashamed; but let him glorify God on this behalf.
1Pe 4:17 For the time is come that judgment must begin at the house of God: and if it first begin at us, what shall the end be of them that obey not the gospel of God?
1Pe 4:18 And if the righteous scarcely be saved, where shall the ungodly and the sinner appear?
1Pe 4:19 Wherefore let them that suffer according to the will of God commit the keeping of their souls to him in well doing, as unto a faithful Creator.
What do I get out of all that?
1. They were "called" Christians. Though it doesn't say whether this was an 'insult', a 'compliment' or a simple description, it tells me that it is not necessarily up to me to call myself a Christian.
2. That it is good to be a Christian, "except for these bonds".
3. That if I'm to be called a Christian, then let it not be an insult--not to ME, but to the Christ.