Nice!
Is that the dust off Uranus?
Spin them in place, around the long axis between the two,
so if they ever were to separate, they would come together,
from the gravity between them, rather than fly apart, so close to Earth.
Also less strain on the trussing between the two.
They are each quite big enough to simulate gravity (upside down) under the surface while spun, but you might need to “bag” them to keep them from spinning material off into space or spinning to pieces.
Ships can land upside down on the “roof” in surface hangers,
or there can be a tunnel all the way through the long axis. Or both.