As you probably can figure out by now, I'm conservative when it comes to purchasing equipment.
Do you homework - research the internet, magazines; Ask friends for their recommendations. The best option would be if someone has a camera you can try.
My strong recommendation is NOT to ask the staff at a camera or electronics store. You very frequently will get "upsold" to a more advanced model or to lots of lenses and extras. Once you have decided what will fit your needs, you have many purchase options: the local store, online stores, etc.
Used equipment is good option, but only buy from a reputable seller you gives you at least a small window for return. I have purchased used equipment from Keh.com, BHphotovideo.com, Adorama.com, and other established firms. In all cases, only pay with a credit card or PayPal so you have some protection. And hold out for free shipping!
Please consider a neck strap (those wrist straps are annoying), a spare battery and a spare memory card. Also, bookstores carry "field" type guides - the manual that comes with the camera is tiny and hard to navigate.
There is absolutely nothing wrong with a "point and shoot" or even a camera phone. Just get started making images to develop your eye, learn what you like and don't like to capture. It's all about mileage. The great part about digital is delete anything you're positive you don't want. No one else knows the bloopers.
Most basic cameras have options such as "portrait," "landscape," "action," or "night time." Have fun with these. And, please, don't get hung up on megapixels. One of my best images was shot with a megapixel cannon sure shot, and I've enlarged it to 36 x 24 with no problem.
` A couple of websites that have valuable reviews are:
* KenRockwell.com
* CNet.com
Please contact me if you have any questions about a specific camera or add on. And ditch those bulky camera cases. When you're going shooting, just hang it around your neck and go. I always add my cameras as a listed item on my personal insurance policy. The odds of anything happening are miniscule unless you drop your camera into a lake or run over it with vehicle.