If you are looking for a good lens, you should take the 24-105. The image quality is much better than that of the 24-240. I have the 24-105 myself. The question is whether the 105 mm is enough for you.

It depends on whether you focus on best image quality or a large zoom range. Since a "good" lens is desired, I would also recommend the 24-105. The 24-240 is good if you want to be as light as possible and are prepared to compromise on image quality and image intensity. That's not to say it's creepy, but these soup zooms are always a compromise.

I have the FE 24-105 and am very satisfied with the image quality. Another advantage: constant aperture, fast AF. These advantages outweigh the smaller zoom range for me. With a 10x zoom, the compromises in terms of image quality are great.