I keep umming and arring and this and now I'm wondering if the three separate units might be feasible. The one for the front bedroom can be mounted on the side of the house somewhere, either high up on the wall or low down on the path, and the two units for the two rear rooms could be mounted low down on the wall round the back. It would still be more cumbersome than one unit, but it might work OK.
Its difficult to make my mind up.
The pics attached show our two outdoor units. The larger against the brick wall is the 3 way unit, which does a conservatory, downstairs living room, and master bedroom. They must all be either heating or cooling. Initially this just ran 2, but we added the 3rd last summer. To do that they pumped the system down into the outdoor unit, added the extra pipework, then pressure tested the whole system. Once complete, it was vacuumed out again then the outdoor valves opened and the system tested. No additional gas was needed. The upstairs unit piping etc. goes up into the loft, then from the front of the house to the back, and down out the outside rear wall on a tray tucked behind the soil pipe once it gets above the door.
The smaller unit just does my office/lab/workshop in the garden, again heating or cooling. Being newer, the office one can also be controlled via an app - which I've found handy from time to time.
Noise wise, the large unit is actually not too noisy - I ran it flat out in heating mode when it went in and out neighbour didn't notice it, their back door is just over the wall to the left. We can't hear it, even stood in the kitchen, unless the window is open.
A friend also added a couple of units to their house last summer, they went with two single systems. They have both outdoor units above a flat roofed garage side by side, where they cannot be easily seen. If they went with 3 indoor units they would have gone with a 3 way unit, but the installer thought (correctly) they would only need the 2 indoor units for what they wanted.
I would check the power usage of running three separate systems against one larger one. If we have a unit on in the house, to turn on another doesn't really make a big difference in consumption (based on the monitoring we have for the solar PC system). I guess running three separate systems may be slightly more inefficient?
Bottom line is the 3 way outdoor unit doesn't take up the same space as 3 separate units, by quite a margin. Plus it's easer to service (only 1 unit to clean rather than 3). It did need a separate 20amp supply though from the consumer unit, all the indoor units are powered from the outdoor unit. The outdoor units can also generate quite a bit of water in winter when they defrost, ours is sitting above a gravel patch which lets it soak away.
Price wise, I has been in 6 or 7 years now, and with the additional indoor unit last summer the whole 3 way system would have been around £4.5k all in.