Which should I choose Sony/Nikon/Canon?

I'm planning to buy a digital camera with higher optical zoom. My choices are Nikon P500 36X, PowerShot SX30 IS or Cyber-shot Digital Camera HX100V. I heard Sony is the best as they have internal Image Stabilizer that helps providing clearer images. I do want to know whether Canon/Nikon have this also are these good choices. I don't have much budget for D Slr cameras. Please give me your opinions with relevant references(for me to get clearer idea)

Added (1). I'm looking for HIGHER OPTICAL ZOOM(10x and above).

Sony

I Have a sony DSC-W220 camera its very easy to use and takes HD quality pictures and Video!
you can take pics and video in black and white, sepia and normal!
Its has Macro so you can take a pic of a flower very close and you can see the details
Go to Youtube and google DSC-W220 and people have uploaded quick clips

Go for nikon

I ll go for Canon… I'm using the 60 D… But i was considering the SX30 IS for its amazing Zoom… Check my pictures(took with 60D) in facebook: PJ Produxtion…
regards

Canon super zooms rock! Anyway try all the cameras before taking the final decision.

I've owned the Canon SX30is for about two weeks now. I have taken about 500 pictures with the camera to date. Compared to the Panasonic the image quality under most conditions is slightly improved. Under low light conditions the Panasonic is noticeably superior. Because the image stabilization works so well I can usually cap the ISO setting at 400 and still get blur free shots. Under moderate to bright conditions I can hand hold the camera at full zoom (35x).

Let me congratulate you for selecting one of the best models of each brands. Fortunately I have tried with all these models and I personally believe Sony cybershot HX100V is far superior than the other 2 brands. Sony is ergonomically easier to use with better clarity in both 2D and 3D format. But the best thing I prefer is its performance and response, the moment u switch it on u r ready to go. Its anti shaking feature is better than the other. On top of it Sony is the brand name which anyone wanted to go with.

I hope this will help you to find out a right decision.

All the best…