What's the difference between being honest and not cheating me?

Different meanings, different emphasis.

1, "I don't cheat" emphasizes my honesty to others, indicating that I won't cheat each other. "Honesty does not deceive me" emphasizes expecting others to be honest with themselves, and expresses the hope that the other party will not deceive themselves.

2. "Honesty and I don't bully" pays more attention to its frankness to others, which reflects the reliability of personal quality. "Honesty does not bully me" pays more attention to the relationship with others, especially expecting honesty from the other party, which embodies mutual trust in interpersonal relationships.