Want to buy a digital camera 125-250 price range. Can't decide which?

I have narrowed it down to these models, and would like advice on the best one to buy. (Used for kids, pets, sports, and also selling antiques from home.)
*Canon Power ShotA2300, *Canon Power ShotA3400, " " A4000, Canon Power Shot Elph 110, " "Elph320, or the Nikon S6200.

I take A LOT of photos, and have been happy with Canons in the past.
I like a good zoom too.
Please help, I'm at a loss of which model would suit me best.
Really looking for someone with one of these models for a good review, or a photography professional…

Canon PowerShot ELPH 300 HS

Most Canon cameras take great shots. But what most impresses me about this camera are its low-light capabilities. It obviously can't match the image quality of a DSLR, but for a P&S, I was impressed! Indoor night shots of my kids WITHOUT flash (incandescent lighting only) come out amazingly crisp with minimal noise. Autofocus is quite impressive as it tracks faces in the frame further enhancing ease of use. Menu functions are quite intuitive (if you've owned previous Canon models).It's got plenty of preset shooting modes. And it's quick between shots for a P&S (a couple seconds with flash photography).

I like the canon 310hs
it has a 8x zoom
your choice

I think the Canon PowerShot ELPH 320 is the best camera of the lot:

http://www.amazon.com/...0075SUJH4/

I can compare it with Nikon COOLPIX S6200 which comes in a close second.

Advantages of the Canon 320 HS over Nikon COOLPIX S6200:

1.Much larger screen 3, 2" vs 2, 7"
2.Higher resolution movies 1080p @ 24fps vs 720p @ 30fps
3.Supports 24p Yes vs No
4.Wider aperture f/2.7 vs f/3.2
5.Records high-speed movies 240 fps vs None
6.Has a touch screen Yes vs No
7.Much better macro capability 3 cm vs 10 cm
8.Has a CMOS-family sensor CMOS vs CCD
9.Higher resolution screen 461k dots vs 230k dots
10.Smaller 94x57x21 mm vs 93x58x26 mm
11.Better wide angle 24 mm vs 25 mm
12.Thinner 0, 8" vs 1"
13.Lighter 145 g vs 160 g
14.Shoots slightly faster 2 fps vs 1.2 fps
15.Longer exposures 15s vs 4s

Read this review by a user about the overall performance of the camera:

http://www.amazon.com/...90ZGLHJR7/

Nikon COOLPIX S6200:

http://www.amazon.com/...005IGVXRU/