Congrats!! :)
From my experience, the polyclinics only do urine pregnancy test. You should visit the polyclinic if you need a subsidised referral to a gynae in a public hospital. not necessary to repeat the pregnancy test in poly.
If you intend to find a private gynae, then you can just book an appointment within your first trimester. This is to make sure that the fetus is growing in the right location (in the uterus and not in the tubes), and to confirm the pregnancy visually via scan.
if you go very early, might not be able to see on ultrasound yet, or may need to scan transvaginally.
Anonymous