Dear Bright Baby,
You can apply at DFA Aseana or other DFA satellite offices. You can go there without any appointment schedule, they have a priority/courtesy lanes for babies below 1 year old. Just make sure you have your Mommy with you and you bring your complete requirements.
You can find the list of requirements in this link http://www.passport.com.ph/requirements.
Make sure you check all the necessary documents needed to avoid any inconvenience.
If your Mommy will also apply for her passport, she can come along with you without the need to get an appointment. Just remind mommy to have your passport delivered so that you won’t need to go back to claim your passport.