Yes, here are some popular holiday rentals in New Providence Island that have a pool:\
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Spectacular Deluxe Oceanfront Villa/Private Pool and Beach Access - Open Ocean! \
Sunrise Beach Resort 3 bedroom #15 Paradise Island \
BREATH-TAKING, SPECTACULAR SEA VIEWS OF OCEANFRONT HOME - 35 STEPS INTO THE SEA! \
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See all holiday rentals with a pool in New Providence Island on Tripadvisor