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!!
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Both lizards will eat crickets.. i know bearded dragons like carrots and collard greens and whatever you can catch in your backyard
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EXCEPT FOR LIGHTNING BUGS ITS LIKE RAT POISON we lost our first beardie to one single lightning bug
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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