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This is a beginner project in which we'll be lighting fireworks using our bluetooth enabled phone. Simplicity and cheapness are the taglines
I'm glad you like it.
LiPo batteries are used for their high power output, besides the maH raings, they have a "C rating". This rating is a measure of how fast a battery can be drained without sustaining damage. For example a 1000 maH battery with a rating of 20C (that is a typical rating) will be capable of providing an 20 A (1000 ma = 1 A multiplied by the 20).
So even a tiny 300 maH battery with a rating of 20C will be able to supply 6A of power. Of course at that rate it will discharge 20 times faster that normal (normal means an hour), so it will last 3 minutes, but at a typical 2.5 seconds ignition times it will be able to lite up over 60 fireworks.
More information here http://rogershobbycenter.com/lipoguide/