There is a service where you can rent a space of around 9 m2 (100 square feet) from around $100 per month.
It is called Cayena Depos and is in Tarabana.
You can contact them at 583 7400.
I have no idea about how good or bad they are, but there you go .
Probably too big for most people here, but at least it is an option if you need more space.