Here the word "righteousness" refers to right action. Possible meanings are 1) that Yahweh has stirred up Cyrus to do the right thing or 2) that Yahweh was right to stir up Cyrus.
# I stirred Cyrus
Yahweh speaks of causing Cyrus to act as if it were stirring him from slumber. (See: [[rc://en/ta/man/translate/figs-metaphor]])
# I will smooth out all his paths
Yahweh speaks of removing obstacles and causing Cyrus to be successful as if he were making the paths smooth on which Cyrus walks. (See: [[rc://en/ta/man/translate/figs-metaphor]])
Here the words "price" and "bribe" share similar meanings. Cyrus will not do these things for financial gain. Alternate translation: "he will not do these things for money" (See: [[rc://en/ta/man/translate/figs-doublet]])