Much depends on how much you are willing to spend, and how much you want to learn about photography.
I would tend to agree with those who suggest a used Nikon DSLR. I'd suggest the D3200. The D32xx line has been the base of Nikon's DSLR line, and the D3200 seems to be about the peak, as far as image quality and resolution, vs. features being dropped to encourage consumers to buy higher-up models. From the D3300 onward, it seems that all they really did was remove features, while doing nothing to improve image quality. Going to higher-end models will get you more features that you don't really need, but until you go to MUCH higher models, you won't really get any improvement in image quality.
And, as mentioned before, it can use nearly all of Nikon's F-mount lenses, going all the way back to 1959. (Nikon claims that only their DF model can use Non-AI lenses, but my D3200, my three non-AI lenses, and I, very much disagree with Nikon on this point. There is an issue with some of the higher-end DSLRs, that can actually be damaged by mounting non-AI lenses, but the D3200 is not affected by this issue.)
The camera that you show in your OP is a basic point&shoot camera. With the D3200, and most likely with any modern DSLR, there's an automatic mode which is nearly as easy to use as a basic point&shoot, but will produce better images. But if you go the DSLR route, then there is a lot that you can learn about making much fuller use of it, to produce even better images.