Your talking about heat shifting systems.
The basic principal is that you duct the latent air out of the warm room into the cooler rooms. Just ducting alone does work to a degree, but you are better off with a small fan to suck the air through.
It is either a DYI job (cutting holes for vents, laying the ducting etc) or a pro job.
My only advice is to use small ducts and only over small distances. The bigger the distance and the bigger duct the more the air cools down.
Cheers