Here are some useful English collective nouns and words to describe containers and storage.
bunch = describing things that are fastened or which grow together: a bunch of flowers, keys, bananas, grapes
set = a complete number: plates, forks, glasses, saucepans etc
(Also: a boxed set / the complete set of CDs / DVDs, etc.
collection of CDs / DVDs
basket = open container, often made of wicker (dried, plaited reed): a bread basket, laundry basket (to put dirty clothes while they are waiting to go into the washing machine), a wastepaper basket
rack = something horizontal (either a pole or a shelf) supported at either end: a clothes rack, wine rack, shoe rack
row = a number of things in a line: a row of hooks (for coats, etc)
pile / stack = one on top of another: a pile of papers, books, magazines etc
bowl = round pot made of glass, china or wood: fruit bowl, sugar bowl (or bowl of fruit)
jar = glass container with a lid: coffee jar, jam jar, jar of pasta, etc
box = square container with a lid, made of cardboard: box of chocolates, cereal, etc
tube = long and narrow, where the contents must be squeezed out: tube of toothpaste
bar = flat and rectangular: bar of soap, chocolate
roll = for paper: toiletpaper / loo paper, kitchen roll
can = anything in a sealed metal tin: can of coke, can of baked beans, can of tuna
tin = metal container: tin of cat food, tin of tuna
pair = things that come in twos: a pair of socks, shoes, boots, sandals, trousers, shorts, etc