Nests rhymes with:
arrests, attests, bequests, best's, breasts, chests, crests, digests, divests, fests, guest's, guests, guests', infests, invests, jests, midwest's, molests, natwest's, northwest's, norwest's, pests, quests, reinvests, requests, rests, retests, southwest's, suggests, test's, tests, tests', vests, west's
Nests sounds like:
nacogdoches, nasdaq, nasdaq's, nast's, nastasi, naugatuck, necessitates, necessities, neckties, negates, negotiates, nest-egg, newscasts, newsday's, next's, niceties, night's, nighthawk, nighthawks, nights, nights', nonjets, nonstick, nugget's, nuggets