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As a counterpoint, I reckon a 3 week holiday somewhere scenic is the perfect time to learn to use a new camera. A holiday is (hopefully) when you'll have time to experiment, play around with manual settings, etc, etc.
Hard to make actual suggestions without knowing budget, etc, but a second hand DSLR seems a good starting point providing you don't mind the extra weight. I'd take the Sony as well so you have something small and quick too.
I'm an out and out noob when it comes to photography, but I'm interested in it and enjoy taking okay photos on my sony rx100.
I'm going on a 3 week long trek in Nepal in autumn and have been toying with the idea of buying something 2nd hand with a bigger sensor and removable lenses - mirrorless or dslr, I'm not bothered. I'd like to capture nice family moments and landscapes.
Would I be wasting my money? I know my camera is good, would I be able to get much more out of something bigger without increasing my basically limited technical knowledge of taking photos?