Aww, congratulations sa first baby mo! Para sa public hospitals na tumatanggap ng maternity cases, the best way talaga is to call ahead or visit the ones closest to you kasi ang slots at policies nila ay nag-iiba-iba depende sa location at capacity nila, iba-iba din ang experience ng kaibigan ko depending kung saan sila nag-deliver. Some of my mum friends suggest going to your barangay health center muna para ma-refer ka properly, or you can directly ask sa public hospital near you about their maternity intake at available slots for your due date. It's really great na nag-prepare ka na ngayon, good move!