Leopard geckos are great starter lizards..but be careful where you get your lizards. When i was about your daughters age I bought 2 leopard geckos from a store, and they didnt seem very healthy but they assured my father they were tired and just got in recently.. they died in less than a week and didnt have any interested in eating/drinking/living once they got back. Make sure they're active.. im sure they'll let you handle some.. I have a bearded dragon currently and they're super simple and awesome.. they hibernate!!
Both lizards will eat crickets.. i know bearded dragons like carrots and collard greens and whatever you can catch in your backyard
EXCEPT FOR LIGHTNING BUGS ITS LIKE RAT POISON we lost our first beardie to one single lightning bug
I think its a great idea for your daughter!! They do have breeders around the U.S. I think.. for both kinds of lizards! Hope I helped