WordNet records no synonym and no antonym for homestead. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the home and adjacent grounds occupied by a family
land acquired from the United States public lands by filing a record and living on and cultivating it under the homestead law
dwelling that is usually a farmhouse and adjoining land
settle land given by the government and occupy it as a homestead
Synonyms, antonyms and the broader and narrower relations for homestead come from Princeton University’s WordNet. Full sources and licences.