I stay in Bishan. Does anyone have any recommendations for a good infantcare in that area?

Everyone's definition of a "good" infant care centre differs as standards differ from person to person. I would recommend that you call up centres with available vacancies and request to view the place so you can get a feel of the environment. It's not just the centre, but also the particular teacher(s) in charge of taking care of your baby. This link shows you a list of infant care centres near your home. https://www.childcarelink.gov.sg/ccls/home/CCLS_Home.jsp