Are there any good infant cares that mums would recommend in tampines?

I think good infant care depends on individual parent. You will have to go down personally to view and experience before you decide. You might want to try out MY World at Tampines North. https://www.myworld.org.sg/

There are some popular one in Tampines: Agape Little Uni Cherie Hearts Kids Haven NTUC child/infant  Mindschamp

thanks