I’ve heard it as Hospitality before. Contract Furniture is the right arena for it. It’s basically more commerical (i.e. larger scale production) home furniture. Stuff you find in restaurants, lobbies, waiting rooms, conference rooms, etc. Traditional design work, but again, larger scale production.
There’s plenty of good work in that field, and it’s nice to hear that you are liking what you do. That said, there are firms out there that design furniture for large manufacturers. However, the big office furniture guys (Knoll, Steelcase, Allsteel, Herman Miller, etc.) all make/design or both, this type of furniture.