Pesters rhymes with:
amvestors, chesters, esters, investor's, investors, investors', jester's, jesters, molesters, nesters, semesters, sequesters, testers
Pesters sounds like:
pasteurize, pasteurizes, pastor's, pastorius, pastors, pastries, pastures, pectoris, picketers, picture's, pictures, pictures', picturesque, posteriors, posters, postures, psychiatric