To do someone's chores (or any sort of tedious work) for them; typically when the person is being too lazy or manipulative to do it for themselves.
A dialogue in which the term "to push someone's broom" is used::
George: "What happened between you and
Rosanna down in Texarcana?"
Sanger: "We're exs now. Wanted me to push her
broom."
To do someone's chores or other tedious work on their behalf, often in the context of a lazy person or someone using weaponized incompetence to avoid the work.
A dialogue in which the term "push someone's broom" is used:
George: "What happened between you and Rosanna down in Texarkana?"
Sanger: "We're exes now; wanted me to push her broom."