Definitely make a reservation here if you have time (hard to get in without one)! Greek Bistro with modern eats and decor - fanfreakingtastic food. Cute little shop and wine bar next door too called Our Life by Stella's, where they sell boutique goods.
Another great place to swing by if you're in town early. Even if you don't have time to visit the inside of the museum, the outside grounds are nice for walking around too! We live right behind the museum, so we're there a lot. This is also where Conman proposed.