WordNet records no synonym and no antonym for bundling. 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.
a onetime custom during courtship of unmarried couples occupying the same bed without undressing
the act of binding something into a bundle
the act of shoving hastily
“she complained about bundling the children off to school”
Synonyms, antonyms and the broader and narrower relations for bundling come from Princeton University’s WordNet. Full sources and licences.