Push-ups rhymes with:
pushups, pushups, pushups, backups, buildups, buttercups, checkups, cleanups, coverups, eggcups, grownups, hangups, holdups, hookups, lineups, linkups, markups, pickups, pushups, runups, setups, shakeups, startups
Push-ups sounds like:
pacific, pacific's, pacifica, pacifico, pago_pago, passbook, passbooks, paysops, pickups, piggyback, poughkeepsie, poughkeepsie's, pushups