One phrase, 2 meanings. Learn them one at a time, then test yourself.
Meaning 1 · most common
To stop focusing on something in the past, especially after a problem or loss, and start thinking about the future or doing something new.
Example
A: Are you still upset about the argument?
B: Not really. I’ve decided to move on.
Tell it apart
After the breakup, she moved on.
Let's move on to question two.
Meaning 2
You move on when you leave one conversation or person and start talking to someone else.
Example
A: Did you talk to many people at the party?
B: Yes, I stayed with each group for a few minutes and then moved on.
Tell it apart
Read the sentence, then pick the meaning that's in play.
Pick a meaning and say it out loud. Save the ones you mix up.