momof3: you don't need special shoes as everyone here has said to ride with that style of clip but if you're going to do any distances, you may or may not be more comfortable in a stiffer sole. Like some said, a pair of Keds should work just fine with those clips. If you start having problems with your feet and/or knees - you might consider looking at a bike shoe with a stiffer sole. I bought both of my pairs for under $75.00....they'll come with cleats but you don't have to have the cleats put on.
If you choose to go clipless, it's such a personal thing: some people need float for their knees, some don't. Some want a bigger pedal platform, some don't. Type clipless or pedals in the search box and it should pull up all the different threads regarding clipless pedal systems.
Life should NOT be a journey to the grave with the intention of arriving safely in an attractive and well preserved body, but rather to skid in sideways, champagne in one hand, strawberries in the other, body thoroughly used up, totally worn out and screaming: "Yeah Baby! What a Ride!"