Betty and Joanna,
An easy point and shoot is the Canon Elph SD600. We just purchased one and love it.
You may want to seek out a store in your area that deals exclusively in selling cameras, both high-end and more moderate in price. Many of their staff are highly knowledgeable and get feedback from customers, both pro and con. Once you explain your needs, they can direct you to a camera that best fits your needs. You don't necessarily need to purchase from that store. You can research and obtain information and then find the best price for that camera.
Another good and qualified resource would be Consumers Reports. We've never been steered wrong with either source.