Good luck with your search!
The cellar gives you room to put your stuff. It gives you a place above the splash that happens from rain. It gives you room to put a furnace. It makes life easier.
I have seen houses built on a slab rotted on the bottom. Usually a house on a foundation only ends up with rotted sills, not the whole wall.
You always pay more for quality construction. A cellar or basement is part of a higher quality and thus more expensive house.
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Here in CT, a lot will depend on location. Probably most homes have basements, but depending on where you are relocating there are styles of homes such as High Ranches and Splits that don't actually have basements. The lower level is usually a walk out with maybe partial underground . If you are in certain areas such as coastlines, most will not have basements. In general new construction will have basements, but again depends on location and price point.
This is such a broad question. What part of CT are you moving to? Once that is narrowed down, your agent will do price comparisons for you based on that particular area. Don't discount homes without basements, because some maybe a good value in your price range and location.
I did a few numbers for you. Since last summer in Wilton, Weston, and Westport, (Fairfield County ) approx. 75 homes sold with crawl or no full basement. Location was a major factor. These homes ranged in prices from 300,000 into the millions. So again there is no pat answer. In general a center hall colonial with a basement is probably what most people want in the North East.
If you contact me and I service the areas you are interested in, I will do comparisons. If not then I can refer you to an agent in our company who does service that area.
Good Luck and keep an open mind. The East Coast is quite different from the West.
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