I'm very happy with my dx7590. I don't have a stability issue even at 10X. It may have to do with my care to use the eyepiece when I use the zoom and I may even lean against a solid object or concentrate on what I am doing. It also helps that some 99% of the time it's some outdoor shot with a brillant light source which drops the shutter time.
I have not investigated any shoe or external flash options since I haven't found the need for them.
In my bag I do have a small 3 inch tripod I use for taking pictures at times when feel it needs it. For instance a timed shot at night or when we were in D.C. and you use that delay timer so you can run into the shot. The mini-tripod is something I have found many uses for.
The battery life is about a week when I travel so it's nice to not have to charge it daily.
In closing, mine is a Kodak refurb and quite a bargain for all it does. Look up dpreview.com for its review. Hope this helps,
You stated in an earlier post that you own the Kodak 7590. Since it does not have the image stabilizer do you have a problem with picture clarity? Do you use a tripod when taking pictures? Does this camera have the hot shoe or external flash capability? Any help on this particualr camera would be appreciated as I presently own a LS443 which just quit taking pictures. Flash works, zoom works LCD works but image is black. It is as if the camera does not have film. The camera was not dropped or exposed to water. Taking a picture at my mother in laws 85th bd party, took a couple, setting up another table of friends and no image. Thought it was the battery but it wasn't, so I am looking at purchasing another camera. Any help on this would be appreciated also. Thanks in advance for your advice. Jen