Yes exactly... good idea isn't it
We have a Toshiba Haori system (Air to Air Heat Pump)
1 x wall unit in Living Room
1 x wall unit in Master Bedroom
1 x wall unit in Office
1 x wall unit in South Facing kids room
So basically all the key living spaces.
Each internal wall unit delivers 2.5kW cooling and 3.5kW heating. But each unit can also be Power Modulated at 100%, 75% and 50% power. So Small rooms can be at 50% etc...
We use a single Compressor sited outside on a spare wall (very quiet) feeding all 4 internal units. It's called a split system, where all the internall wall units have to be in either Hot or Cold mode.
But you can have a seperate outdoor compressor for each unit, and independently control each one for hot or cold in each room, if you don't mind all that hardware outside.
Each internal wall unit is fed through pipework in the loft space. This means the internal wall units can be sited anywhere in the room (not just the external walls). The drain pipes go back up into the loft and each bedroom unit has it's own Peristaltic water pump in the loft space, which drains the water outside. Completely silent inside the bedrooms... it's very nice. Being able to site the wall units exactly where you want inside, means you can control where the heat/cooling is being delivered. We avoid directly overhead to stop 'cold drop'...
Our system can be in Heat Mode, Cooling Mode, Fan Mode or Dehumidifying Mode.
The internal wall units also filter PM2.5 particles with a Plasma ironizer...
Fully voice controlled using Alexa, Smart Phone App control for scheduling & remote access and a nifty backlit hand controller.
My Wife absolutely loves Air Conditioning at home, the reason being, you can open all the Windows and enjoy the Summers Day... then when you've had enough and want a cool bedroom, you get a good nights sleep.
Plus if your Neighbour fires up the BBQ with smoke drifting your way... you can close all your Windows, slam on the Air Con and not overheat inside.
Like being on holiday, you can just cool down on your bed for a bit, then go back outside.