。
My father is handy and can fix anything.
Literal
Father [topic-は] handy [and-で] anything fix-completely.
器用 is a na-adjective meaning 'dexterous' or 'handy,' and its te-form (器用で) links it to the main clause as a reason or characterization. てしまう here carries no regret — it emphasizes completeness, as in 'ends up fixing everything.' 何でも ('anything/everything') is a powerful generalizer.