Simply choosing black and white mode on your camera is like just dropping a black and white film in your camera and not using any coloured filters.
While B&W is fun and easy by selecting that mode on a camera, the dramatic results are had by creating a black and white shot from colour. This is because you can emphasize or de-emphasize colours (darken or lighten trees, sky, faces...) by boosting or lowering the amount of the colours in a shot. If you don't have the software to play with the colours, use a selection of filters. (Green, red, blue, yellow...) to do it the way photographers did it before digital editing.
Any camera you pick will enable you to get black and white shots. If the camera does not allow black and white mode, you can just do it with software after taking a colour shot. Most software will do simple black and white conversions. Check some books on digital photography for details and comparisons on various methods of getting black and white from colour shots.
The sample shot is doubtful to have bothered to use filtration, or even a very expensive camera. The planning of this photo seem minimal at best as it looks like a plain washroom where a cat was dunked and then held up for the shot. It could have been great shot if this cat was sitting beside an aquarium with a "oops busted" look.