'storage place' is correct and can be used in written English.
You can use it when you need to refer to a location where something is stored. For example, "I need to find another storage place to store my extra furniture."
And for that storage place.
"The building was a nice storage place".
The cabin provided a capital storage place for our provisions.
Over the years, the lawsuit contends, the canvases migrated from storage place to storage place and finally ended up in Mr. Chamberlain's TriBeCa loft.
Instead of a simple warehouse, the men wanted a more respectful and secure storage place.
And then because of the housing reform, the company give them another small storage place.
So, it was a big storage place for rice, and they were storing it all year.
"Besides, we actually have two spaces all our own -- Manhattan Mini-Storage and a long-term storage place in Queens".
As it turns out, the security guards at the storage place tried to shake him down for rent.
EIGHT BUILDINGS PLANNED The Area Is Near the Educational Centre and Is Now Used as a Storage Place.
The best storage place is an unheated basement or garage where it's dark, slightly damp and cold (35 to 45 degrees Fahrenheit).
