Unless tenants have a lease for a longer period or the property is under rent control, you can give the tenants a 30 day notice of termination of tenancy for any reason..
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If this is a multi-unit property built before 1979 in the city of Los Angeles (aka "rent-controlled unit"), then there are restrictions on evicting tenants under these circumstances. First, if the tenants are elderly, disabled or have been there more then 15 years (I think), then they cannot be evicted under the scenario you pose. Other tenants can be evicted under that scenario.
The second is, if the building is owned by a corp or an LLC, then the answer is no, because business organizations have no relatives.
Third, the relative must be an immediate family member, i.e., a parent, child, spouse.
Fourth, you have to pay relocation fees.
You should check with the Los Angeles Housing Department for details. (866) 557-RENT.