What does baby wear if I have a car seat cover? I'll be having her by Feb 1st, in upstate NY and it gets pretty cold. I have a THIN fleece onesie for her that's almost like a regular onesie but just warmer (I'll picture it below) but would that be enough, and with a short sleeved onesie underneath that.? Help. FTM. Trying to get baby's clothes together for hospital but just so many questions..