|Part of the gang. 28mm|
Instead of zooming for convenience, pick a focal length and shoot with that focal length until you become familiar with its 'look'. If you don't have primes that's fine - just look at your zoom barrel which has these focal lengths marked on it. Some point-and-shoot cameras such as the LX5 also have a "step zoom" function which zooms to the typical prime focal lengths.
I suggest first getting familiar with the equivalent of 50mm, then try the extremes - the widest angle you have, then the longest focal length you have, then work your way through the intermediate steps, becoming more familiar with increasingly subtle changes. For example: 50mm, 24mm, 200mm, 35mm, 105mm, etc.