I don't like carpet either, but a nice carpet for your bedrooms is probably the only solution. A different timber or tiles would look funny.

another option - lay vinyl over top of the red gum and then use it through the whole house. far less expensive than tile, more durable and non slip. also means can lift and paint the wood later on if you want. so many vinyls now that look real - see pics and this link for inspo:

https://www.robertmalcolm.co.nz/assets/bulkUpload/Moduleo-Moods-newspaper-14566.pdf

Hi Eric

I would look at painting the wood and resealing it. Reckon this would be the best way to go, and if and when you sell on the property the new owners can look at these pictures and easily strip the floors back to their original look. Most would kill for wood like this in their home and would be a selling feature to new owners, so don't go down the tile route. Even consider large format rugs that would cover the bulk of the floors. I can see why you bought the place, the views are stunning.

Continue red floors and add large rugs or carpet squares.

Have you already had flooring people look at the timber, it looks amazing, you should be able to match it. If you really hate the carpet why not consider a large herringbone parquetry timber flooring in the bedrooms to match with the other timber, it should work being separate rooms.

Or replace the carpet with timber and have all floors sanded and stained the same colour.

Eric, is it the red colour you don't particularly like? Which timbers do you like most? Have you seen spotted gum? I mention it because the colour tones in spotted gum vary and it might possibly be worth consideration.

I realise many consider having the same timber flooring throughout the house as ideal; however, as your bedrooms have doors, I believe it would be perfectly acceptable to have a different timber flooring in them (be consistent here though). If this were my Dilemna, I would match the timber width to the width of your red gum flooring, and use a top-notch installer, someone with whom you can discuss the best way to lay the planks given your other flooring.

Hi Eric, carpet is the worst for those with allergies, I agree that you could do all of the bedrooms with timber in a herringbone pattern, get a good Pro to do it though ( did you consider having the red timber floors sanded, stained a colour you like and resealed, you could do this to all timber floors .cheers