We have 2 digital cameras, a point and shoot, 4MP, 3X optical zoom, proprietary battery Canon S410 and an Olympus C730 Ultra zoom, 3MP 10X optical zoom, AA batteries. Both have their advantages and disadvantages. As far as batteries go though, I bought an extra battery for the Canon for $80 CAD (camera came with 1 battery). The battery takes about 1.5 hours to charge. So, basically I will shove a fresh battery in the camera each morning before heading to the parks and take the spare with me. I haven't managed to go through 2 fully charged batteries YET, but it could always happen. WIthout flash i can take about 400 pictures with the 2 batteries (using the LCD). For the Olympus, a Ni-MH charger and 2 sets of batteries cost approximately $80 as well (can vary based on the "strength" of the batteries and the speed of the charger which can range from 30 minutes to 8 hours!) You can take about 400-500 pictures (no flash with the Ni-MH batteries as well). Now, a camera that uses AA batteries doesn't usually come with batteries (though some sony's did for a while). It is definitely cheaper to buy a 3rd, 4th etc set of batteries for this camera as compared to a camera with a proprietary battery. AND, if in case you ever do completely drain your AA batteries you can use alkaline batteries to capture a few important shots. (wow that was long winded)
As for zoom. Look at the OPTICAL zoom only. Digital zoom is kind of comparable to how you zoom in on your computer, when you zoom in things become pixelated (looks boxy). Digital zoom decreases picture quality dramatically. I have it turned off completely on my camera. You can always zoom in on your computer later!
Now this is just a personal opinion but often times you paying for more than you get with a sony camera. Another disadvantage is that they use memory stick type of memory vs compact flash or secure digital (SD), both of which are cheaper than sony's memory stick.
If you're looking for a decent point and shoot camera, Canon is GREAT, Fuji and Olympus are both REALLY good, Kodak's are simple to operate, Konica/Minolta have (generally) the quickest between shot time, HP can make an alright camera for a decent price but do some research on the lens first, some are pentax, some are not.
Disclaimer: Brand reviews are general and my opinion only. Check www dot stevesdigicams dot com for comprehensive reviews of nearly every camera ever made!!!