Placement is half the silence
Mount the indoor unit away from the bed head, not above it — you want the air washing across the room, not the fan next to your ear. Slightly oversize the airflow and run a lower fan speed: a 3.5 kW unit loafing at 40% is quieter than a 2.5 kW working flat out.
Outdoors, keep the compressor off bedroom walls — yours and the neighbour's — and onto brackets with rubber isolation rather than a resonant fence line. A good installer raises this before you do; it is one of the tells you have found one.
Check your postcode's rebate and, if you want, up to
three licensed locals quote it so you can compare. No lead auction.