Housework rhymes with:
casework, guesswork, latticework, piecework, voicework, artwork, beadwork, brushwork, casework, clockwork, earthwork, fieldwork, firework, footwork, framework, groundwork, guesswork, handiwork, hardwork, homework, latticework, leadwork, legwork, masterwork, metalwork, needlework, network, openwork, paperwork, patchwork, piecework, plasterwork, roadwork, schoolwork, spadework, teamwork, voicework, wallwork, waterwork, woodwork
Housework sounds like:
hacker's, hackers, hasher's, hashers, hawkers, hickories, highrise, highrises, hijackers, hikers, hokuriku, hooker's, hookers, hoosiers, housewares