One for the digital photography people out there - Which camera would best suit my needs?

Basically I enjoy drawing and so I go to places like the zoo and wildlife parks etc, I have a compact digital camera and my phone but they aren't very good at taking pictures of animals that are at the back of their cages or in the distance and still have a level of detail I can draw.

So Id basically like my camera to be able to take good distance shots but also be good at general day to day photography as well.

As Ive said above drawing is my thing photography isn't but I'm prepared to learn so Id like a camera that is easy to use (pref with an "auto" mode) however Id also like it to have some manual controls so I can learn as I go. Having a viewfinder isn't too important to me, Id like to not spend more than say £250 if possible and I don't mind buying a camera second hand, also it would be nice if it had a good lens built in so I'm not having to carry a load of photography equipment around (I have a 20 month old and she already has more than enough for me to carry).

Ive looked and narrowed it down to these 3 models

Nikon L840 4/5
Canon Powershot SX520
Fuji FinePix S9200

Or is there one I'm missing?

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