This all depends on your budget & what you want the camera to do for you!
Compact means simple, easy to use but not necessarily the best results.
Bridge means exactly that, a bridge between a compact & an SLR.
SLR is something that sounds like it would be too complex for you.
Zoom: What kind of zoom do you need? That's a lot of what goes into the price of a camera, the lens is the most expensive part!
Battery: AA size or cameras own with a charger? Personally I use one of the latter, much better battery life but the downside is you can't just pop into a shop & buy a couple of spares! Rechargeable Lithium Ion AA's are now available, not cheap but worth it for a camera & remember that both flash & zoom will use up battery life a lot compared with point & shoot.
If you're budget will stretch to a bridge camera I'd go for the Panasonic Lumix, some good advice here:
http://www.photographymonthly.com/camerafinder/bridge-results?type=2Have fun choosing, it's a minefield out there!
PS: Photo Filtre is another good free software package for the more common tasks:
http://photofiltre.en.softonic.com/download?ab=1