I know very little about the history of these buildings. There's a removals firm called Robinsons with some links to Bristol, and a building in Brimingham with an old sign saying "Robinsons Furniture Depositories", so I suppose it's possible this is a long-defunct furinture repository for a removals firm. Last planning application I can find is from 1998, before I even moved to Hotwells, granting permission to demolish "two storey office building and single storey store", which very much sounds like these two buildings.
The bit on the right still has a sign up saying it's Gnodal and Bioinduction—the firms whose car park is around the back—though Gnodal is defunct and Bioinduction sadly don't have any pictures from the Bristol office on the one-page website.
GPS Coordinates:
51.44966, -2.61501
Location: Cliftonwood