How would you say it another way?
I'll pull my weight.

Does it mean,

I'll do my part.

Question

How would you say it another way?
I'll pull my weight.

Does it mean,

I'll do my part.

Answer

"Pull my own weight" can mean what you said, "I'll do my part". You can also say it when you want to express your independence. For example:
- I pull my own weight when I'm working

You can also replace "pull" with "carry".

I hope this helps!

Answer

How about I‘ll do my bit; I'll do my share?

Answer

It means I will do my best