Like the ones in these pictures:
https://neoutdoor.com/combination-chicken-coops/
(You would need the 6x12 foot one or larger. Assume it holds about 1/3 as many chickens as they say.)
Or like this "dog kennel":
https://www.thedogkennelcollection.com/dog-kennels/traditional-8x12-kennel-292/
(Add a roost and a few nestboxes, and maybe take the flap off the dog door, and it would be a very nice coop and run. With some added hardware cloth, that run would be secure enough that you could allow 24/7 access, and they might like to sleep on perches in the run during the hot summer.)
To my eyes, these look "different" than what you have right now. They do have an indoor space (sometimes a decently-sized one that you can walk into) and a covered "run" space that is definitely large enough to walk into. And they probably look nicer than what you have now, without being terribly large.
I do not know exactly where you are, so I do not know what companies sell such things in your area.