Handymen rhymes with:
amen, anchormen, councilmen, lawmen, men, menn, menne, oilmen, patrolmen, pitchmen, salmen, tienanmen
Handymen sounds like:
hamdan, hamdoon, hamdun, handyman, hanten, hantman, hendon, henton, hindman, hinton, hometown, hunton, huntoon, hyndman