I would recommend BOMA over Jiko. BOMA is the buffet and there will be many many more choices available. I am sure that your DD will find sometihng that she likes and since it is a buffet, she can load up.
Where as Jiko is considered signature dining and the food is a bit more 'exotic'. She may not find anything she likes there and that could ruin everyone's dinner.
We're doing Jiko rather than Boma. My kids aren't picky eaters, plus it's my birthday dinner. Really though, the kids menu at Jiko is pretty tame: http://allears.net/menu/menu_jikokids.htm
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