Are there still public libraries in Manila? I want to check-out some books for my toddler.

Yes, definitely! In theory there should be designated public libraries in each municipality. But if you want to checkout the ones that cater to kids, you can try visiting Marikina Public Library. They have offer a wide selection of books for kids in their Children's section. Marikina City Library West Grandstand, Marikina Sports Park, Shoe Avenue, Bgy. Sta. Elena, Marikina City Open from Monday to Friday, 8am to 5pm Official website: http://marikina-library.weebly.com

Here's the complete list of public libraries in Manila City. You don't have to be a resident in order to gain access. https://manilacitylibrary.wordpress.com/