My method was a little different...I batted them in the order the kids showed up at the game. The team went from kids running from the car to the dugout a minute before the game started to everyone there 30 minutes before the game.One easy method is to always move your lead off batter from the last game to the bottom of the line up the next game. The batting order shifts up one spot every game.
My DD never got to lead off. I announced the rule after one game. Next game, two kids were waiting for me. The game after that, about 1/2 the team was waiting for me.
The result always surprised me. Apparently, instead of the parents reminding their kids about the game, the kids started badgering their parents about getting to the game.