In the amenities section, the hosts can check "pets live on this house". I suggest to add "NO pets live on this house" as normally guests will not check "pets live on premises", some guests would prefer "NO pets live on premises". There should be this option for guests to filter in their desired type.
Also, there should be some more options like "NO kids live on this house", "only females live on this house", "No other groups of guests", etc because those are the options guests might choose.