is this correct?

Hello, teachers and experts

I would like to know if this sentence with this phrasal verb is OK:

'I used to be a very popular girl at school, most of the girls wanted to keep up with me.'

Is there any difference between 'catch up with' and 'keep up with' in the meaning of 'stay at the same level'?
I ask this because I am not a native speaker and sometimes words can mean the same but be used in different contexts or situations. The same happens with 'fill somebody in on sth' and 'come forward with' in the meaning of 'give information.'

Thank you very very much.

[svartnik]

"I used to be a very popular girl at school, most of the girls wanted to keep up with me"
This is fine.
Catch up with her suggests to me that her peers want to catch her and do harm to her.
Best wishes
Svartnik

[Tdol]

It's OK, but it is not obvious without more context why they would want to keep up with you because of your popularity. They might well want to get in with you because of your popularity. I think you need to add some more information to explain the use of the verb.