Picker rhymes with:
bicker, bricker, clicker, dicker, ficker, flicker, fricker, kicker, knicker, licker, liquor, macvicar, mcvicar, mcvicker, quicker, redicker, ricker, schicker, schlicher, schlicker, schricker, sicker, slicker, snicker, sticker, stricker, thicker, ticker, vicar, vicker, whicker, wicker, zwicker, zycher
Picker sounds like:
paccar, pacer, packager, packer, pagar, pager, passaro, passer, passero, paxar, peacher, pechora, pecor, pecora, pecoraro, pecore, peguero, peiser, pekar, peshawar, peyser, pfizer, picaro, picher, pickar, pickier, picower, piker, pixar, pizarro, pizer, pizzazier, pizzeria, poacher, poker, pooser, poser, possessor, poucher, poyser, pucker, pusher, puskar, pysher