As much as I love the Red Sox and Fenway Park, the idea of bringing my daughter to a game makes me shudder. Between the "spirited" fans and the spilling of beer I find McCoy Stadium and Triple A Team, The Paw Sox to be the best family friendly alternative.  Walking in to a game you won't believe all the kids!  The stadium is so clean.  The ticket prices are beyond reasonable and there is free parking!  You can purchase tickets for assigned seating or opt to bring a blanket and sit on the lawn.  Check the schedule for special events like "Bat Night" or Fireworks.  My daughter's first trip to a Paw Sox game was when she was 9 months old and she loved it.  I'll still visit Fenway, just on date night for awhile.