Caroline, that's a beautiful idea! I like it.
Abhege, thanks again for your generous offer, but I found exactly what I needed at the hardware store. It's so much easier to deal with than fishing line, so much stronger than florist wire. I don't even remember which part of the store I was aimlessly browsing at the time but it's just called plastic coated steel wire. Not an unpleasant green color. It's on a spool of some more-than-ample-amount of feet for just a couple $$'s, not hard to snip with the very inside of the pliers. I used the pliers to bend the ends into a secure knot/twist on each of the 3 attachment parts of a pot, attach all 3 to - whatever. I used some 50-pound picture hanger things I found in the tool chest, bent into a circle, strong, with a perfect-size hole to attach the top of all 3 wires, then still fits over the utility hooks screwed into the ceiling of my front porch. They sell those keyring things for a few cents, I'm going to grab a few of those for some of these other pots I want to be able to hang from other types of hooks, that would give a much bigger, strong, metal ring at the top.
The other cool thing is that it's really easy to use 3 pieces of wire to hang a 2nd pot from a first. The logistics of actually getting the 2nd one even are a little tricky but I did it by lowering the first pot so it was just slack of the distance I wanted between the 2 pots. Then I could attach the 3 wires I'd already connected to the bottom pot with virtually no tilt, although I like a slight tilt in a hanging pot to enhance the dripping of excess water.
The wire:
Double-decker:
Where 2 pots connect:
From the hook: