Here is one possible timeline
33 Jesus’ crucifixion
34? Paul’s conversion
Arabia (Gal. 1:17 — NOT Jerusalem)
Damascus (Gal. 1:17 — NOT Jerusalem; Wilson: “Cannot date Paul’s sojourn into Damascus” p. 82)
37? Jerusalem (Gal. 1:18 — after three years, for 15 days; only saw Cephas/Peter and James, the Lord’s brother; Acts 9:26-30)
Tarsus (where Barnabas finds him, Acts 11:25)
Antioch (where Barnabas takes him, Acts 11:26)
37-46 Still nine years unaccounted for!
46-48 1st Missionary Journey with Barnabas (Acts 13-14)
48 Jerusalem conference with Barnabas and Titus (Gal. 2:1, Acts 15)
49-52 2nd Missionary Journey with Silas (Acts 15:36-18:21) Luke goes too. Timothy gets picked up in Lystra.
51-52 Paul in Corinth
53-57 3rd Missionary Journey (Acts 18:22-21:16)
59-62 4th Missionary Journey (to Rome)
Paul beheaded?