I posted earlier about a webcomic called Batman and Sons, done by fan artist the dark cat.
He (or perhaps she) has now finished the "Rivalry" story, and it is available on the dark cat's Blogspot blog:
Part 3 - Conclusion
Clicking on individual thumbnails in each post will open up the page for reading.
Part 1, which was the only part available when I did my original post, was pretty funny, and so perhaps expectations may have been set too high for parts 2 and 3. It is hard to do "funny" consistently, but the entire story was well done and definitely worth taking the time to read. 
A couple of minor editorial quibbles -- I noticed that at least once, the word "manic" was used instead of the correct "maniac". These text problems didn't really detract from the story, because there weren't too many. They may have been due to the artist's understandable desire to finish the friggen thing.
My favourite bits were the ongoing gag of Dick's adolescent reaction to busty superheroines in skintight costumes (pages 4, 9, 17, 19, 35) and the reunion of the Batbaby with its mother (page 44).
My one question (which will undoubtedly cause me to lose all my comic book nerd street cred) is - who was Cassandra (page 11)?
The real reason why I like this story is the underlying warning against overcoming one's own inadequacies or solving one's own issues by passing these things down one generation and having one's son(s) bear the weight of expectation to do it properly. As the story illustrates, this not a good model of child-rearing at all.
Not a bad bit of insight from something meant to be funny and fluffy.
 The assumptions I make, of course, are that the prospective reader have a sense of humour and at least some affinity for and knowledge of the DC Comics universe, of which Batman and Sons in general and this story "Rivalry" specifically are a parody.