What will be the best digital camera to purchase?

I have a couple of options in my price bracket.sony ts10, sony dsc w510, ge e1680w, sony DSC w560, or an nikon L24 or the nikon with the touch screen can't remember that model number. Please let me know what will be the best for recording and taking still photos. If you can please let me know the pros and cons of each.

There are three types of popular consumer-based cameras: basic point-and-shoot,
compact, and DSLR (digital single lens reflex) cameras. The biggest difference
between the first two cameras and a DSLR is that with the latter camera you can
change lenses, whereas with the former types the lenses are fixed.

Point-and-shoot cameras are the most widely used of the three types of cameras.
Most people treat these cameras as they are named in the industry. They pick up
the camera, compose a shot and shoot. They‟re not too concerned about advance
features (e.g. White Balance and ISO controls, for instance) and control over manual
exposure. They shoot largely in Automatic mode, which means the camera sets the
exposure settings for them.
Advantages
Relatively inexpensive, ranging from $200-$400.
Convenient, lightweight and small enough to carry in your pocket or bag.
The lens of a point-and-shoot usually has a range of focal lengths, from wide
to medium long.
Automatic features that help users take photos.
Disadvantages
Can‟t change lenses and sometimes can‟t use other accessories like external
flash.
Often slow in operation, which means you might get blurry shots, or you might
miss shots all together.
May be limited in exposure features, such wide range of aperture or high ISO
speeds.
Small LCD screen for reviewing images.

Compact cameras are very similar to point-and-shoots. Some stores and websites
use the two terms interchangeably. But in my view, I see compact cameras as a little
larger than point-and-shoots, with maybe a higher zoom and exposure range, and a
larger LCD screen. Examples of compact cameras are the Canon Powershot G11,
the Coolpix P100, and the Fujifilm FinePix S2500HD.
Advantages
Relatively cheaper than bottom-line DSLR cameras.
Camera controls are often easier to access because they are not buried
inside the camera‟s menu.
Physically larger than point-and-shoot cameras, providing better grip on the
body of the camera.
The lens of a compact camera usually has a range of focal lengths, from
wide to medium long.
May include additional features not included in point-and-shoots, e.g. Swivel
LCD screen and video capture.
Disadvantages
Pretty much the same disadvantages for point-and-shoot cameras.
Can be heavier and more

The biggest difference with DSLR cameras is that you can exchange lenses, and
they are way faster than point-and-shoot and compact cameras. Examples of DSLRs
are the Canon 50D and the Nikon D90
Advantages
With DSLR cameras you have the ability to use a wide variety of lenses, from
extremely wide and to very long zoom lenses.
The camera operation of DSLR cameras is a lot faster. There‟s little or no
exposure lag between shots. My Canon 50D for example can fire up to 6.3
frames per second in high speed shooting.
An external flash/strobe can be attached to these cameras, making for
better camera lighting than the built-in camera flash.
Higher exposure ranges, e.g. High ISO ranges, additional spot metering
modes, Flash compensation feature.
Larger size DSLRs make for a better grip and more steady shots.
Disadvantages
DSLRs are more expensive, starting at around $800, upwards to $3, 000 and
more.
These cameras are of course not compact and sometimes you have to carry
an extra lens