Is your concrete painted? If so, it'll be hard to alter without needing a repaint. Have you tried pot feet or saucers or using less water? Bunnings sell self levelling compound, which applies a thin layer to the whole area and deeper in the dips. You can DIY.

hi yes batches are different from batch to batch, but the finishers, toner, and self levellers, grout, are all different and have differing impact of the finish. Two of my Grandsons work in the concrete polishing industry (have for years)and come across this problem every other day. They are so very used to fixing up concrete pourers blues. I do know of some extreme difficulties (some over forty years old under carpet that have had the same problem) that have given my boys a hard time. However, at the end of it, using the right gear, you can literally see your face in the reflection plus the reflected image via the window.

Look into terrazzo, it's basically polished concrete with style. Terrazzo is a poured coloured concrete with glass or stone chips in it to give it a variety of looks. It's then polished to a high lustre. It comes in any colour like from bright whites to black and you can choose the mix of aggregates to make your own custom flooring. Commonly seen in tiles, it can be poured as well to avoid the tiled look. A similar colouring to sandstone would be easy to achieve this way with a more durable finish. Terrazo's can also use interesting agregates like sea shells and limestone fossils to create a complete custom look. An alternative to a high thermal mass flooring would actually be the installation of phase change material mats in area's subject to direct light. Phase change material is a polymer used in the transport industry that either consumes or gives off heat as it moves from a solid to liquid state. The material is know to radiate either heat or cold back into the environment for many hours in a controlled release after several hours of charging through exposure to heat or cold. It's an inert technology that never wears out and innovative architects are beginning to incorporate it into passive housing design. The panels are manufactured to be quite thin so you could hang a pcm mat on a wall for example and easily cover it with something innocuous but it would passively heat the house.

We are about to build and are looking to go with the laminate. It's warmer in winter than tiles, wears so much better than engineered. I have several friends who have had it for a few years, so not just going on salespersons speak.