I've got properly installed split units, one for each floor. Necessary as Mrs D has MS and extreme heart can hospitalise her.
I know the guy that owns the firm - we played in the same band for a while - and got the three Mitsubishi units supplied and installed for £4500. That is a very decent mates rate, id have expected a 6 grand bill if I'd payed full retail. The external units are on the rear wall, situated in such a way as to be invisible to the neighbours.
No planning permission required unless you live in a conservation area or the external units aremover 0.6M3 each, which house sized items won't be.
They work as excellent heaters when set in 'reverse', as theyre essentially heat pumps. If im home alone during a winters day I can heat the part of the house im in very efficiently and inespensively without resorting to lighting up the central heating. Not as "good" as heat pipe heating, but much better AC functioning than heat pump heating and the three separate units give great versatility.