Your best chance of being covered for an afternoon game at Dodger Stadium is to sit in the last three rows (F-H) of a 200 level section or in the highest rows of the upper deck.
Kids under the age of four do not need a game ticket, provided they sit on a parent's lap. Kids entering for free will not receive a promotional give-away item.
Finally, the Dodgers do offer specially priced tickets for kids age 4-14, which must be purchased through the Dodgers box office on the day of the game only. The special pricing is available for 1-3 star games only.