The OP doesn't say if her child has issues llike that or is just "picky". My niece is just resistant to new foods if she thinks she'll get something she likes better. At my house, she eats waffles and whole wheat bread with no issue; she doesn't eat everything I make but she'll at least take a bite and then eat a piece of bread if she doesn't like what's for dinner (she doesn't even eat cold cuts or peanut butter or I'd make her a sandwich). At their grandmother's house, she eats asparagus and salmon because it's that or nothing (she's really old school). At her mom's house...only white rice, pasta with butter, and pudding and if her mom is at my house with her, she won't eat anything unless bribed by chocolate.
They're coming with us to Disney but I'm not letting my niece dictate my food choices, even if it is her birthday while we're there. Her mom has decided to opt-out of some of our ADR's because my niece won't eat anything on the menu but that's her mom's choice. I'm still not going to give up on getting that kid to eat something new this trip - chocolate crepes in France maybe or a quesadilla in Mexico.