You have a wide selection. Olympus XZ1 is a very good camera with a bright lens.
The S series of Canon S95, or the new S100 will return very good results. I know little of the Nikon, but their new V1 is getting very good reviews. Steve Huff Photo and DigitalRev on YouTube have good reviews. The price might turn you off.
The Samsung TL500 rates well, but not as easy to find
Mirrorless cameras like the new Olympus pen cameras look hot.
Lumix/Panasonic makes some fine cameras, and I would fill your needs.
Read reviews of all the cameras, try to actually hold the camera before you buy. Don't get caught up in megapixels.
There's a saying that the best camera is the one you have with you. Buy something that is convenient to carry. Take a whole bunch of photos. That's how you become a good photographer. Practice.