Here's what rhymes with uptheir.
                        
                        
                    
                                their  there  fair  hair  share  fare  faire  hare  cher  fere  sehr  where  care  bear  chair  pair  prayer  rare  wear  affair  bare  dare  spare  swear  tear  unfair  mare  stare  ware  flare  mer  pear  scare  snare  stair  flair  guerre  lair  mehr  affaire  mair  pare  thair  blare  aware  square  despair  glare  beware  thoroughfare  coheir  funfair  prepare  compare  declare  repair  unaware  forbear  impair  underwear  aftercare  bugbear  ensnare  midair  parterre  repairer  outerwear  overbear  spyware  tinware  beachwear  backstair  everywhere  anywhere  earthenware  curare  debonair  disrepair  horsehair  solitaire  forswear  medicare  chinaware  dinnerware  maidenhair  eldercare  ironware  legionnaire  broodmare  debonaire  camelhair  ovenware  setsquare  wirehair  doctrinaire  silverware  tableware  billionaire  commissionaire  foursquare  kitchenware  foreswear  questionnaire  millionaire  concessionaire  millionnaire  extraordinaire  multimillionaire  Words that almost rhyme with uptheir
cell  fell  sell  hell  shell  celle  sel  well  tell  del  bell  smell  dwell  gel  spell  swell  tel  dell  delle  nel  yell  befell  belle  weal  bel  knell  nell  telle  jell  outsell  hotel  dispel  excel  nouvelle  quell  unwell  gazelle  pastel  quel  resell  undersell  morel  novelle  noel  personnel  compel  farewell  expel  repel  foretell  gaol  motel  propel  impel  lapel  decibel  photocell  retell  nacelle  oversell  parallel  citadel  infidel  cartel  mademoiselle  materiel  carousel  fontanelle  bagatelle  caravel  misspell  carrousel  clientele  organelle  commonweal  muscatel  tagliatelle  zinfandel  antipersonnel  nonparallel  therefor