I'd like to take a picture of some objects (specific object doesn't really matter), and I need the background to be completely black.

I experimented a little last night with OK results. I put down a black cloth on a chair, set my objects up and lit them. With my limited lighting setup (just shop/work lamps), I was getting way too much spill onto the surface, even though I put down a black cloth. I was able to get the background black by putting enough space between my setup and the wall and turning out the lights in the room.

Going forward, what would be a better way to approach this? Maybe I should use a bracket of some sorts to hold my object/s up and shoot into empty space?

FWIW, I'm shooting with an RB67 and the 90mm lens. In my camera last night was Kodak TMY.