Luke
Acts 9:30BSB·traditional attribution

When the brothers learned of this, they took him down to Caesarea and sent him off to Tarsus.

John Calvin Reformed @genevareformer

30. In that he went to Tarsus, he did it undoubtedly to this end, that he might carry the doctrine of the gospel thither, because he hoped that he should have some favor and authority in his country, where he was famous; yet was he brought thither by the brethren, that they might deliver him from the lying in wait.

Matthew Henry Presbyterian @wholebiblehenry

Luke here makes no mention of Paul's journey into Arabia, which he tells us himself was immediately after his conversion, Gal 1:16, Gal 1:17. As soon as God had revealed his Son in him, that he might preach him, he went not up to Jerusalem, to receive instructions from the apostles (as any other convert would have done, that was designed for the ministry), but...

Commenting on Acts 9:23-31

John Gill Reformed Baptist @doctorgill

Then had the churches rest,.... Meaning not spiritual rest in Christ; this they had before, even in tribulation, but rest from persecution; not so much because of the conversion of Saul, the great persecutor of them, for his conversion had been three years before; but rather because of his removal to other parts, the sight of whose person, and especially his ministry, had afresh stirred...