Reporting part-time earnings while on benefits - what worked for you?

I picked up part-time shifts as a warehouse supervisor and I am confused about how to report them. There are 15 people counting on me, so I am trying to be careful. Pay posts on a different day from when I work. Do you report when you earned it or when you were paid?

Thanks for writing this out. I went through something close to it last year, and it got easier once I kept a simple log of every call and form.