Switching from KK subsidized patient to KK private

Hi, im currently 6 weeks pregnant, seeing a private clinic. Im thinking of switching to KK Subsidized patient for my first and second trimester and then maybe change to KK Private at my third trimester because i read that the price difference for KK Subsidized is really big but i would also prefer one doctor seeing me knowing my condition better . But i also heard that KK private is actually more expensive than normal private Any mummies done it like this before, able to give some advice or guides on this?