Usage patterns
家計を助けるto help support the household finances
She works part-time to help support the household finances.
家計を切り詰めるto tighten the household budget
We've been tightening our household budget lately.
家計が苦しいhousehold finances are tight/strained
Rising prices are straining our household finances.
家計を管理するto manage the household finances
My wife manages the household finances.
家計の足しにするto use something to supplement the household budget
We grow a home garden to help supplement our household budget.
Expressions
家計を締めるtighten the household budget; economize at home