"bins of" is a correct and usable phrase in written English.
You could use it to refer to containers or groups of objects. For example, "We saw a few bins of apples at the farmer's market."
Make three piles (or bins) of stuff: Keep, Donate, Discard.
Plastic laundry bins of used clothing and tablecloths line its front walk.
Stalls burst with carved Hindu deities, richly colored textiles and bins of pungent saffron and coriander.
Before him, she said, designers had to sort through bins of industrial samples on Canal Street.
And is the earth inlaid with bins Of bobby, straight and safety pins?
I picked through the bins of roughly hammered cylinders of patina-coated scrap metal.
Over at Purple Iris, shoppers are browsing through bins of pricey garden tools and lawn decorations.
Bins of candy are placed in the same order every day.
We steered around great hulking bins of throw pillows in coordinated fabrics.
Enormous bins of lava stone stood waiting to be poured into the bottoms of the pools.
Palaeontologists continue to rifle through the rubbish bins of taxonomy, separating out previously muddled taxa.
