£150 Might get you more choice at that price.
You are looking budget realistically.
Though thinking about nightshots............
You really want something with an AF Sensor. The Sonys usually have them. They emit a beam of hologramatic light to calculate focusing etc. Very useful. But only 3x zoom on budget.
Minolta use another system to do this but found on much pricier cameras though.
Not wanting to confuse you.......but these budget cameras tend to be designed fit in the pocket. Its useful but they use quite small CCD`s. By nature they can create a lot of noise in high ISO and dark night scene photography. (Imagine the CCD and each light sensor is a bucket collecting light. Some buckets get full quicker more than others and overspill into adjacent buckets, this causes noise = Unwanted colours randomly in the picture.)
It can look quite horrible, especially if you intend lots of night shots. This a called Low Dynamic Range of the CCD sensor. ie. its unable to capture a more sensitive range of light.
More expensive cameras have larger CCD`s, hence less noise. ie. The sensors have more space on the CCD. Essentially, CCD`s convert light into electrical signals which are stored and given a value, 255 is White 0 is Black.
Taking action shots in low light will be difficult. You will have to use a high ISO and slowish shutter speed. (You can set the flash to fire and usually a 1/60ths shutter is predefined, but you might not illuminate the subjects if far away.)
Sorry, but least you learnt something!
Sony P150 might be worth looking at though might be too expensive.
My best advice is look for a second user Minolta 7Hi. It will do all you need for around £120-£150 second hand. Good auto focus speed and low light performance (despite the lack of AF assist lamp).
Maybe other members can recommend a camera they have used for good night shots.