There is a Nine-Headed Bird at the entrance of Youyan Building, there is Zhen Kung Fu in Wumart, there is a food court at the exit of Wumart, and there is Domino's Pizza and Wedomei a little further west from Baodao Hospital.
Walk south along Xinjiekou Waijie Street to Iron Lion Tomb where you can find Oriental Dumpling King, Hehe Valley, Daoxiang Village, Qingfeng Steamed Buns, Donkey Meat Shao Shao, first-hand shops, etc.
You can also go shopping inside Beijing Normal University, where there are Jitian snacks.
Beitaipingzhuang is very close to the Peony Garden, and you can also go there to eat.
I often use Baidu Takeaway to order food. They are all high-quality restaurants and often have discounts.