OldFrill
Your household insurance is unlikely to cover anyone you are paying to come to your house, trades, cleaners, etc. Check your policy. The cleaner should have their own insurance, as should any other self employed person. Around £10 a month and they recoup that in their charges, it's generally set according to how much they earn yearly (also probably tax deductable but not certain about that).
The problem starts when you are providing equipment and supplies eg: steps, if they break, PPE that is inadequate, it’s your fault, a shelf falls on their head, you ask them to move something and they injure their back.
They will claim on your insurance, you have to defend that claim wether it’s your fault or not.