Thanks for the design.I had a problem removing standard support as it kept snapping the paint pot holders.
I ended up using Cura and tree supports and they came away perfectly with no effort.
I modified the connecting pins to one solid pin, as per the photo
I glued the top piece directly to the top of a 24ml pin.
The above strengthened things up nicely and reduced the wobble to near 0.
Some sanding on the pins was required to get the perfect fit.
Yellow and Blue
Used raft on joining pins and Brim on base, rings and top.