You weren't part of the original CBGB generation; you're barely part of the CBGB t-shirt generation. But don't let that stop you from decking your kid out in official CBGB & OMFUG logo bodysuits, beaters, t-shirts, and stocking caps. Think of it as a sign that you support your neighborhood institutions--and, obviously, that you live in the East Village.
Most CBGB gear is $15.95 at the CBGB Online Store, although bibs and caps are cheaper. They're actually kinda cute.