bin: [OE] Old English had the word bine or binne (it meant ‘manger’), but it is not clear where it got it from. Perhaps the most likely source is a word, *benna, in the Celtic language of the pre- Anglo-Saxon inhabitants of Britain (Welsh has ben ‘cart’). But it may also have come from medieval Latin benna, which gave French benne ‘large basket’. In English, the modern sense ‘storage container’ does not fully emerge until the 14th century.
"receptacle," Old English binne "basket, manger, crib," probably from Gaulish, from Old Celtic *benna, akin to Welsh benn "a cart," especially one with a woven wicker body. The same Celtic word seems to be preserved in Italian benna "dung cart," French benne "grape-gatherer's creel," Dutch benne "large basket," all from Late Latin benna "cart," Medieval Latin benna "basket." Some linguists think there was a Germanic form parallel to the Celtic one.