I'm writing a song and I'm trying to come up with a word for a place, a room, a shop, or even a piece of furniture where people store old things or collectible objects. The idea is to imply that something is old or is more like a collection piece now by saying it is getting saved there (in the song).
A hutch or a curio cabinet would be used to store curiosities within someone's house or apartment. If you're speaking of china specifically, a china cabinet would work.
A shop/place where used or old collectible items are sold could be an antique store, vintage shop, thrift store, flea market, swap meet (regional), estate sale (implies that a collector is going to the deceased's house rather than a store), or even a garage sale depending on what you're going for.
It’s called a lumber room. The term is common in English literature, since the writers of a certain period (think Jane Austen) tended to set their stories in the large houses that contained them.
There is a short story by Saki, called The Lumber Room, which can be read online in several places, including East of the Web, from which I copied the following passage, which describes what young Nicholas sees as he escapes from his severe aunt and finds his way into the forbidden space:
...objects of delight and interest claiming his instant attention; there were quaint twisted candlesticks in the shape of snakes, and a teapot fashioned like a china duck, out of whose open beak the tea was supposed to come. How dull and shapeless the nursery teapot seemed in comparison! And there was a carved sandalwood box packed tight with aromatic cotton-wool, and between the layers of cotton-wool were little brass figures, hump-necked bulls, and peacocks and goblins, delightful to see and to handle.
Possibly the use of one of the definitions of "gallery", "archive", or "repository" would be suitable, or use of the mere description of something as a "curio" (often used with cabinet) implying such an object's place as part of a "collection".