Is what the questioner said, "If I move, I will give charity from my salary," considered a vow, given the doubt about the wording and the expected salary increase not occurring, and is expiation obligatory for him, or is this from the whispers of the self?

We advise you to give in charity from your salary what is easy for you, for charity is a cause for increasing wealth. As for your doubt about whether you made a vow or not, nothing is incumbent upon you, because the default is the acquittal of responsibility, as mentioned by Al-Izz ibn Abd al-Salam in Qawa'id al-Ahkam.