Private domestic help
Yes, the household must take out accident insurance, as this is compulsory in Switzerland. If you are over 17 years of age, they must also register you with social security (AHV).
Self-employed domestic helpers and cleaning companies
If you are self-employed as a domestic helper (with confirmation from the AHV compensation office) or have a cleaning company, discuss with your client which insurance policies you already have and which ones you may still need to take out. If your self-employment is confirmed, accident insurance is not required on the part of the household.