To give you an idea of what you would be able to get for a smaller price tag, take a look at these three examples of closets under $1,000. A small linen closet or coat closet (pictured left) can start around $200 to $400 dollars.This particular design is just under $400 and includes about 4 Â½ feet of storage space.deally, they should be a variety of depths based on what each section needs to store. Builders commonly put in shelving that is 11 Â¼â deep. This default measurement doesnât work for all sections of a closet and certainly wonât fit every homeownerâs storage needs.