Both cameras are excellent for what they do.
If you mainly want to take pictures indoors and not use the flash all the time, then take mtclimber's advice and look seriously at the Fuji F-30. Fuji is a very good brand that has made quality cameras for some time. Here is a review:
http://www.dcresource.com/reviews/fu...ix_f30-review/
The Canon A620 - which I have - is a fine camera that does not do as well as the F-30 in low-light situations, butit alsocosts at least $100 less. It takes accurate, pleasingly saturated pictures, and does a good job in a well-lit indoor environment and well as superb outside photos.