Good morning,
: Yes, it is partially basemented in the front area. The basement is from 1948, so it is not usable as living space.
Well then...
If you build an extension at the side, you have to support the existing house in the area of the partial basement; an extension would only make sense – as a gain of living space for the kids – if it is built over both floors. This would, in the case of a side extension, again require a partial dismantling of the existing roof. The previous 2.00 m line is currently located quite far inside, which means the extension would have to be at least 2.00 m – finished internal dimension – if it is to noticeably benefit the children's rooms. Costs would arise on this side of an extension for support measures of the existing single-family house, base slab, masonry, windows on ground floor + upper floor, as well as costs for roof connection and extension; of course plus the costs of interior finishing.
If you want to continue the existing extension into the attic, the roof must also be partially dismantled to later create a non-visible connection. You would also have to completely change the internal layout in the existing attic to access the rooms of the – then finished – extension. With this option, costs would arise for scaffolding, roof dismantling and rebuilding, masonry, windows; again plus costs of interior finishing and rearrangement of access to the rooms in the extension.
Therefore, I would recommend in any case that you find a construction expert you trust and discuss the necessary work with him. Ideally a construction expert who specializes in renovation; such a person usually has the necessary trades at hand and tends to bring more creative ideas regarding the existing structure into the discussion than a construction expert who works exclusively in new construction.
Rhenish greetings