Wooden floors or carpet?

Do you prefer wooden floors or carpets?
I have a mixture.
The entrance is very large and has wooden floors. I live in the country and its very muddy. It would be impossible to keep carpets clean if the entrance was carpet.
The bedrooms, sitting rooms, and stairways are have plush light carpets. I do like carpets as they look opulent and are so comfy underfoot and warm.
Obviously shoes are taken off at the door. I have a bench there so everyone can easily remove them.
My office has wooden floors.
My house is open plan style with mezzanine style areas that are wooden floors.
The hard floors are absolutely freezing from around October to April, and uncomfortable to walk on in bare feet.
Wooden floors can be deadly in bare feet.
In a perfect world I'd have carpets throughout. It's not as perfect world.