We are of good courage (θαρρουμεν). Good word for cheer and same root as θαρσεω (Matthew 9:2; Matthew 9:22). Cheer up.

Are willing rather (ευδοκουμεν). Rather, "We are well-pleased, we prefer" if left to ourselves. Cf. Philippians 1:21. Same ευδοκεω used in Luke 3:22.

To be at home with the Lord (ενδημησα προς τον Κυριον). First aorist (ingressive) active infinitive, to attain that goal is bliss for Paul.