Birdfeeder's rhymes with:
birdfeeders, birdfeeders, birdfeeders, birdfeeders, feeders, birdfeeders, breeders, breeders', cedars, feeders, leader's, leaders, leaders', meaders, meadors, reader's, readers, readers', reeders, reiders, reiders', rieders, rieders', speeders
Birdfeeder's sounds like:
birdfeather's, birdfeathers, birdfeeders