I've had good luck with Shimano PD-T400 CLICK'R Clipless Pedals, they have flat and clips on both sides. I would try the silver SH56 dual release cleats. They can be release by turning your foot either direction. If you get used to them and want to get black cleats that hold tighter. After 3 years of riding with mine I stuck with the silver cleats. I am getting arthritis in my right hip and knee and it's easier for me to twist out of the cleats in a counterclockwise twist for both sides.

Shoes? Get something comfortable. Something in a sole that has a sole more like a street shoe is easier to walk around in. The first pair I had were mountain bike shoes and I slid around on tile whenever I tried to walk on it. I got a pair of sandals instead and will soon be getting a running shoe type pair.

EDIT: Frankly most bikers will not get much benefit from clips, the amount of energy added by being able to pull UP is not that much. I simply use them because I have a bit of neuropathy in my feet and I have difficulty keeping my foot in optimal position, I was either pedaling on my toes or heels. Cleats allow me to keep my feet in the correct position without much effort.