Hi sumire,
I can give you vaguely off-hand some of the things you can buy first. Like me, i did not want to buy things too last minute or really wait to know the gender, too kiasu in my case. So i bought some new-born 0-3 months unisex coloured clothings for my baby, bathing towels, bath tub, tummy binder (optional), pacifiers (optional), milk bottles, the teats as well, steriliser, nail clipper, milk powder canisters for outings, diaper bag, bath power containers, ru yi oil, new born diapers, wet wipes or cotton wool for their stools, lots of napkins for their feeding, booties and mittens, face towels, hooded towels etc...