hi! just want to suggest to bring an extra change of clothes for your baby and maybe a shirt for yourself too (in case you have a spitter baby like i do!) my baby always have blow outs (poop come out from diaper), maybe i don't know how to put on diapers! hahaha
also, want to reassure mommies to not worry so much about going out with baby! I came here with bb alone from US and he did pretty ok! If you worry you don't have enough hands, I would suggest getting familiar with using a carrier at home so you can have both hands free if you need to. I use the ergo baby carrier, and at first, bb hates it, but we practice everyday at home before our flights so that he will be comfortable in it. I also don't know if in SG, mommies usually bring strollers or just use carriers. i think also no need to pack so much stuff in diaper bag, i remember when i just had bb, when we go out, i look like i am moving house, diaper bag so big. now i just bring wipes, diaper, change of clothes, nursing cover, and don't forget to bring plastic bag to put in dirty diapers if you happen to change him outside of toilet or in cars etc. i think babies like new surroundings, they are very curious so they usually are just quiet and love to look around. Also, if you r nervous, you can arrange to go with another mommy/friend so that you are used to it.Sorry for the long msg! just wanna share!
on a side note, how much is a manual breast pump in singapore and where can i get it? my medela pump adapter broken and my breasts are disgustingly engorged now since bb is so jetlagged and keeps sleeping, not eating...URGH!