(Photo: Levi Brown)

Hosting a playdate in a city apartment can feel like inviting in an invasion: Rowdy, sugar-fueled kids descend en masse, demand constant attention, and leave your home a goldfish-cracker-strewn disaster site. A full agenda of engaging activities will keep the chaos somewhat under control. Start with the Frontier Indoor/Outdoor Tee Pee ($135 at Calypso Enfant, 407 Broome St., nr. Lafayette St.; 212-941-9700). It’s six feet tall (so it should easily clear an apartment ceiling) and completely blank; set it up over an old sheet, and give them the paint kit so they can decorate the exterior with their own designs. For more indoor-entertainment ideas, click ahead.