I [topic-は] work [than-より] home [direction-の方] [subject-が] important.
~より~の方が ('X is more Y than Z') is the standard comparison structure. 家庭 ('home, household, family') is the unit of the family, vs 仕事 ('work'). 大事 (だいじ) is a な-adjective meaning 'important, precious.'