Optical zoom is what you need.
Pixels don't really matter for what you've said,just because a camera has 20m pixles doesn't necessarily mean better quality images. The real secret is fast sharp lenses with an f stop of 2.8
A few points though, Point and Shoot camera's due to the shutter lag are not great.
A basic dSLR kit with a 55-200mm zoom should get what you want but only in good light.
SamMcAuley chemists have a Nikon D40 with a basic 18-55mm lens for €379 but if you budget is very restricted this Fuji will do the job for you
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