If those prices don't include the electrician's costs of connection then to me they don't match up and I'd say your supplier/installer can't do maths lol. Pricing will change between supplier and of course electricians, and of course I'm working off the impression that the floors are flat where you want it installed. If the quote includes the electrical work, as in it covers everything besides tiling to where you can switch it on, then it looks reasonable to me and sits around the ballpark of what we paid. With the electrician's connection costs included then the figures match up better between the bathrooms and the living area, looking at it from a total per m2 viewpoint. If it includes the floor covering as well, then I'd say get on the phone and book the job straight away before they realise their mistake lmao. For instance if the quote is just for material and install, without electrical connection then the two bathrooms are quoted at $166.66 per m2 and the living area is quoted at $53.57 per m2. A large difference at cost per m2. If however the quotes include the electrical connection then you can average out the m2 cost across all three rooms and it amounts to $73.53 per m2. The electrician would be charging the same price for connection of each room (with only minor differences) if there is nothing out of the ordinary in any room. That means it's a static cost in each room that could make the bathroom quotes look inflated, and the living room look on the cheaper side. When you have a m2 quote on something across multiple rooms of different sizes, it's important to factor in anything outside of materials that's included in the quote. Assuming the install could be considered standard (whether it be underfloor heating, tiling, carpet, etc.) there will be other costs involved such as labour hours, wiring connection, installation materials, etc. Some can be considered static such as the electrician installing a single thermostat in each room, whatever actual size that room may be. Others will be more fluid such as labour hours for the tradesmen doing the install - will take a lot longer to lay tiles in a room of 56m2 than it will to lay them in a room 6m2. Whenever you are given a quote involving installations by m2, it's important to get them to detail what exactly is included in the quote. If you don't do this you run the chance of ripping yourself off. Let's say you get 3 different quotes from underfloor heating suppliers who all give you different prices but without details. One may look more expensive than the other two but actually be cheaper overall due to including everything up to 'turn on' phase, where the other two may only include supplying and laying the underfloor heating with you having to organise your own electrician after install.

@ Luke Buckle yep that’s the one. Has 1000w/200w switchable. I just put an oil heater in there 2 days ago to trial and room was toasty in under 5mibs WITH A non instant oil heater so a fan type wouldn’t take long. Also consider the heat lamps are 250w so 1000w total if all 4 are on. They feel like they are frying your head off from above when blazing all 4 lamps so depends on what “feel” you want also. As someone mentioned, let alone the cost of lamp replacement. Having been in lighting industry they wouldn’t last super long either (perhaps newer ultra violet do but their also pricier again)... I’m no better either!

We too live in a cold winter climate with our bathrooms all on the southern side and faced similar issues as you do. One smaller bathroom does not have a window so we put in a Velux skylight which provides amazing natural light through the day. This may not be to your liking, especially if you have a period home. We also use heated towel rails and under tile heating (just enough to take the chill off and stop mould) in winter. Although we have a light in the shower recess, a bonus is the large fixed shower head with inbuilt LED, which at night gives the feeling of showering under moonlight. We chose light colours and mirrored recessed cabinets to reflect as much natural light as possible.

Heated Towel Rails..as the name suggest " heated " towels Underfloor heating on top of the tile bed ( immediately under your tiles ) is excellent and it assists in drying your towels, A number of manufacturers around Your electrician may lay the floor wires ( he must set up conduits as part of his roughing-in) Check out businesses that install underfloor heating Buy a kit, self-install, size dependant, on the area to be warmed,