How could i help my mom??..?

Soo,me and my dad got in a fight..he called me a tramp..and said alotta other stuff.. so..my mom is very tired of it. && said me and her are moving..im the only child (that lives with my parents) so,my mom promised if i showed i was responsiable enough,for company..my boyfriend could move in..and,i promised my mom i would do more school work,clean up around the house,clean my room..and alotta other stuff..but,i kinda wanna help my mom,financially...im 13..i did babysit..but,i only got like 8 dollars..ik no one else i could baby sit for..the girl who i baby sat for..she got her kids taken away,my cousin wont pay me.. cuz i dont want my mom broke all the time.. so..how could i help..financially??